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Finding the Fourth Proportional to 3,154.68, 4,732.59 and 1,074.57

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Solution

The fourth proportional to 3,154.68, 4,732.59 and 1,074.57 is: 1,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.68 : 4,732.59 = 1,074.57 : x
  2. Step 2: Convert to fraction form
    3,154.68/4,732.59 = 1,074.57/x
  3. Step 3: Cross multiply
    3,154.68x = 4,732.59 × 1,074.57
  4. Step 4: Simplify right side
    3,154.68x = 5,085,499.24
  5. Step 5: Solve for x
    x = 5,085,499.24/3,154.68
  6. Step 6: Final answer
    x = 1,612.05

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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.