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Finding the Fourth Proportional to 2,000.38, 2,760.54 and 1,214.48

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Solution

The fourth proportional to 2,000.38, 2,760.54 and 1,214.48 is: 1,675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.38 : 2,760.54 = 1,214.48 : x
  2. Step 2: Convert to fraction form
    2,000.38/2,760.54 = 1,214.48/x
  3. Step 3: Cross multiply
    2,000.38x = 2,760.54 × 1,214.48
  4. Step 4: Simplify right side
    2,000.38x = 3,352,620.62
  5. Step 5: Solve for x
    x = 3,352,620.62/2,000.38
  6. Step 6: Final answer
    x = 1,675.99

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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.