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Finding the Fourth Proportional to 3,154.56, 4,732.45 and 1,074.68

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Solution

The fourth proportional to 3,154.56, 4,732.45 and 1,074.68 is: 1,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.56 : 4,732.45 = 1,074.68 : x
  2. Step 2: Convert to fraction form
    3,154.56/4,732.45 = 1,074.68/x
  3. Step 3: Cross multiply
    3,154.56x = 4,732.45 × 1,074.68
  4. Step 4: Simplify right side
    3,154.56x = 5,085,890.41
  5. Step 5: Solve for x
    x = 5,085,890.41/3,154.56
  6. Step 6: Final answer
    x = 1,612.23

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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.