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Finding the Fourth Proportional to 1,938.72, 2,905.64 and 963.06

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Solution

The fourth proportional to 1,938.72, 2,905.64 and 963.06 is: 1,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.72 : 2,905.64 = 963.06 : x
  2. Step 2: Convert to fraction form
    1,938.72/2,905.64 = 963.06/x
  3. Step 3: Cross multiply
    1,938.72x = 2,905.64 × 963.06
  4. Step 4: Simplify right side
    1,938.72x = 2,798,305.66
  5. Step 5: Solve for x
    x = 2,798,305.66/1,938.72
  6. Step 6: Final answer
    x = 1,443.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.