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Finding the Fourth Proportional to 1,614.69, 2,227.55 and 951.23

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Solution

The fourth proportional to 1,614.69, 2,227.55 and 951.23 is: 1,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.69 : 2,227.55 = 951.23 : x
  2. Step 2: Convert to fraction form
    1,614.69/2,227.55 = 951.23/x
  3. Step 3: Cross multiply
    1,614.69x = 2,227.55 × 951.23
  4. Step 4: Simplify right side
    1,614.69x = 2,118,913.20
  5. Step 5: Solve for x
    x = 2,118,913.20/1,614.69
  6. Step 6: Final answer
    x = 1,312.27

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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.