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Finding the Fourth Proportional to 3,149.32, 4,720.29 and 1,689.52

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Solution

The fourth proportional to 3,149.32, 4,720.29 and 1,689.52 is: 2,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.32 : 4,720.29 = 1,689.52 : x
  2. Step 2: Convert to fraction form
    3,149.32/4,720.29 = 1,689.52/x
  3. Step 3: Cross multiply
    3,149.32x = 4,720.29 × 1,689.52
  4. Step 4: Simplify right side
    3,149.32x = 7,975,024.36
  5. Step 5: Solve for x
    x = 7,975,024.36/3,149.32
  6. Step 6: Final answer
    x = 2,532.30

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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.