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Finding the Fourth Proportional to 1,614.68, 2,422.16 and 690.27

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Solution

The fourth proportional to 1,614.68, 2,422.16 and 690.27 is: 1,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.68 : 2,422.16 = 690.27 : x
  2. Step 2: Convert to fraction form
    1,614.68/2,422.16 = 690.27/x
  3. Step 3: Cross multiply
    1,614.68x = 2,422.16 × 690.27
  4. Step 4: Simplify right side
    1,614.68x = 1,671,948.55
  5. Step 5: Solve for x
    x = 1,671,948.55/1,614.68
  6. Step 6: Final answer
    x = 1,035.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.