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Finding the Fourth Proportional to 3,129.07, 4,689.10 and 1,567.48

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Solution

The fourth proportional to 3,129.07, 4,689.10 and 1,567.48 is: 2,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.07 : 4,689.10 = 1,567.48 : x
  2. Step 2: Convert to fraction form
    3,129.07/4,689.10 = 1,567.48/x
  3. Step 3: Cross multiply
    3,129.07x = 4,689.10 × 1,567.48
  4. Step 4: Simplify right side
    3,129.07x = 7,350,070.47
  5. Step 5: Solve for x
    x = 7,350,070.47/3,129.07
  6. Step 6: Final answer
    x = 2,348.96

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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.