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Finding the Fourth Proportional to 1,614.27, 2,227.70 and 906.02

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Solution

The fourth proportional to 1,614.27, 2,227.70 and 906.02 is: 1,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.27 : 2,227.70 = 906.02 : x
  2. Step 2: Convert to fraction form
    1,614.27/2,227.70 = 906.02/x
  3. Step 3: Cross multiply
    1,614.27x = 2,227.70 × 906.02
  4. Step 4: Simplify right side
    1,614.27x = 2,018,325.09
  5. Step 5: Solve for x
    x = 2,018,325.09/1,614.27
  6. Step 6: Final answer
    x = 1,250.30

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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.