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Finding the Fourth Proportional to 1,613.14, 2,419.72 and 747.34

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Solution

The fourth proportional to 1,613.14, 2,419.72 and 747.34 is: 1,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.14 : 2,419.72 = 747.34 : x
  2. Step 2: Convert to fraction form
    1,613.14/2,419.72 = 747.34/x
  3. Step 3: Cross multiply
    1,613.14x = 2,419.72 × 747.34
  4. Step 4: Simplify right side
    1,613.14x = 1,808,353.54
  5. Step 5: Solve for x
    x = 1,808,353.54/1,613.14
  6. Step 6: Final answer
    x = 1,121.01

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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.