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Finding the Fourth Proportional to 1,614.30, 2,227.55 and 906.00

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Solution

The fourth proportional to 1,614.30, 2,227.55 and 906.00 is: 1,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.30 : 2,227.55 = 906.00 : x
  2. Step 2: Convert to fraction form
    1,614.30/2,227.55 = 906.00/x
  3. Step 3: Cross multiply
    1,614.30x = 2,227.55 × 906.00
  4. Step 4: Simplify right side
    1,614.30x = 2,018,149.16
  5. Step 5: Solve for x
    x = 2,018,149.16/1,614.30
  6. Step 6: Final answer
    x = 1,250.17

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