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Finding the Fourth Proportional to 1,587.77, 2,381.63 and 492.13

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Solution

The fourth proportional to 1,587.77, 2,381.63 and 492.13 is: 738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.77 : 2,381.63 = 492.13 : x
  2. Step 2: Convert to fraction form
    1,587.77/2,381.63 = 492.13/x
  3. Step 3: Cross multiply
    1,587.77x = 2,381.63 × 492.13
  4. Step 4: Simplify right side
    1,587.77x = 1,172,076.31
  5. Step 5: Solve for x
    x = 1,172,076.31/1,587.77
  6. Step 6: Final answer
    x = 738.19

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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.