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Finding the Fourth Proportional to 1,587.18, 2,381.56 and 613.96

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Solution

The fourth proportional to 1,587.18, 2,381.56 and 613.96 is: 921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.18 : 2,381.56 = 613.96 : x
  2. Step 2: Convert to fraction form
    1,587.18/2,381.56 = 613.96/x
  3. Step 3: Cross multiply
    1,587.18x = 2,381.56 × 613.96
  4. Step 4: Simplify right side
    1,587.18x = 1,462,182.58
  5. Step 5: Solve for x
    x = 1,462,182.58/1,587.18
  6. Step 6: Final answer
    x = 921.25

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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.