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Finding the Fourth Proportional to 1,686.64, 2,531.75 and 1,492.87

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Solution

The fourth proportional to 1,686.64, 2,531.75 and 1,492.87 is: 2,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.64 : 2,531.75 = 1,492.87 : x
  2. Step 2: Convert to fraction form
    1,686.64/2,531.75 = 1,492.87/x
  3. Step 3: Cross multiply
    1,686.64x = 2,531.75 × 1,492.87
  4. Step 4: Simplify right side
    1,686.64x = 3,779,553.50
  5. Step 5: Solve for x
    x = 3,779,553.50/1,686.64
  6. Step 6: Final answer
    x = 2,240.88

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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.