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Finding the Fourth Proportional to 3,000.97, 4,141.08 and 1,938.78

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Solution

The fourth proportional to 3,000.97, 4,141.08 and 1,938.78 is: 2,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.97 : 4,141.08 = 1,938.78 : x
  2. Step 2: Convert to fraction form
    3,000.97/4,141.08 = 1,938.78/x
  3. Step 3: Cross multiply
    3,000.97x = 4,141.08 × 1,938.78
  4. Step 4: Simplify right side
    3,000.97x = 8,028,643.08
  5. Step 5: Solve for x
    x = 8,028,643.08/3,000.97
  6. Step 6: Final answer
    x = 2,675.35

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.