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Finding the Fourth Proportional to 3,175.59, 4,763.39 and 1,532.31

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Solution

The fourth proportional to 3,175.59, 4,763.39 and 1,532.31 is: 2,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.59 : 4,763.39 = 1,532.31 : x
  2. Step 2: Convert to fraction form
    3,175.59/4,763.39 = 1,532.31/x
  3. Step 3: Cross multiply
    3,175.59x = 4,763.39 × 1,532.31
  4. Step 4: Simplify right side
    3,175.59x = 7,298,990.13
  5. Step 5: Solve for x
    x = 7,298,990.13/3,175.59
  6. Step 6: Final answer
    x = 2,298.47

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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.