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Finding the Fourth Proportional to 3,073.50, 4,612.14 and 1,613.70

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Solution

The fourth proportional to 3,073.50, 4,612.14 and 1,613.70 is: 2,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.50 : 4,612.14 = 1,613.70 : x
  2. Step 2: Convert to fraction form
    3,073.50/4,612.14 = 1,613.70/x
  3. Step 3: Cross multiply
    3,073.50x = 4,612.14 × 1,613.70
  4. Step 4: Simplify right side
    3,073.50x = 7,442,610.32
  5. Step 5: Solve for x
    x = 7,442,610.32/3,073.50
  6. Step 6: Final answer
    x = 2,421.54

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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.