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Finding the Fourth Proportional to 1,615.31, 2,421.42 and 689.59

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Solution

The fourth proportional to 1,615.31, 2,421.42 and 689.59 is: 1,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.31 : 2,421.42 = 689.59 : x
  2. Step 2: Convert to fraction form
    1,615.31/2,421.42 = 689.59/x
  3. Step 3: Cross multiply
    1,615.31x = 2,421.42 × 689.59
  4. Step 4: Simplify right side
    1,615.31x = 1,669,787.02
  5. Step 5: Solve for x
    x = 1,669,787.02/1,615.31
  6. Step 6: Final answer
    x = 1,033.73

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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.