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Finding the Fourth Proportional to 3,154.71, 4,732.64 and 1,074.60

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Solution

The fourth proportional to 3,154.71, 4,732.64 and 1,074.60 is: 1,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.71 : 4,732.64 = 1,074.60 : x
  2. Step 2: Convert to fraction form
    3,154.71/4,732.64 = 1,074.60/x
  3. Step 3: Cross multiply
    3,154.71x = 4,732.64 × 1,074.60
  4. Step 4: Simplify right side
    3,154.71x = 5,085,689.57
  5. Step 5: Solve for x
    x = 5,085,689.57/3,154.71
  6. Step 6: Final answer
    x = 1,612.09

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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.