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Finding the Fourth Proportional to 1,712.70, 2,567.58 and 1,452.96

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Solution

The fourth proportional to 1,712.70, 2,567.58 and 1,452.96 is: 2,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.70 : 2,567.58 = 1,452.96 : x
  2. Step 2: Convert to fraction form
    1,712.70/2,567.58 = 1,452.96/x
  3. Step 3: Cross multiply
    1,712.70x = 2,567.58 × 1,452.96
  4. Step 4: Simplify right side
    1,712.70x = 3,730,591.04
  5. Step 5: Solve for x
    x = 3,730,591.04/1,712.70
  6. Step 6: Final answer
    x = 2,178.19

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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.