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Finding the Fourth Proportional to 1,687.44, 2,531.32 and 700.04

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Solution

The fourth proportional to 1,687.44, 2,531.32 and 700.04 is: 1,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.44 : 2,531.32 = 700.04 : x
  2. Step 2: Convert to fraction form
    1,687.44/2,531.32 = 700.04/x
  3. Step 3: Cross multiply
    1,687.44x = 2,531.32 × 700.04
  4. Step 4: Simplify right side
    1,687.44x = 1,772,025.25
  5. Step 5: Solve for x
    x = 1,772,025.25/1,687.44
  6. Step 6: Final answer
    x = 1,050.13

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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.