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Finding the Fourth Proportional to 3,102.57, 4,652.64 and 1,153.71

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Solution

The fourth proportional to 3,102.57, 4,652.64 and 1,153.71 is: 1,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.57 : 4,652.64 = 1,153.71 : x
  2. Step 2: Convert to fraction form
    3,102.57/4,652.64 = 1,153.71/x
  3. Step 3: Cross multiply
    3,102.57x = 4,652.64 × 1,153.71
  4. Step 4: Simplify right side
    3,102.57x = 5,367,797.29
  5. Step 5: Solve for x
    x = 5,367,797.29/3,102.57
  6. Step 6: Final answer
    x = 1,730.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.