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Finding the Fourth Proportional to 1,614.69, 2,228.32 and 906.59

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Solution

The fourth proportional to 1,614.69, 2,228.32 and 906.59 is: 1,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.69 : 2,228.32 = 906.59 : x
  2. Step 2: Convert to fraction form
    1,614.69/2,228.32 = 906.59/x
  3. Step 3: Cross multiply
    1,614.69x = 2,228.32 × 906.59
  4. Step 4: Simplify right side
    1,614.69x = 2,020,176.78
  5. Step 5: Solve for x
    x = 2,020,176.78/1,614.69
  6. Step 6: Final answer
    x = 1,251.12

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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.