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Finding the Fourth Proportional to 1,613.15, 2,419.50 and 572.87

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Solution

The fourth proportional to 1,613.15, 2,419.50 and 572.87 is: 859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.15 : 2,419.50 = 572.87 : x
  2. Step 2: Convert to fraction form
    1,613.15/2,419.50 = 572.87/x
  3. Step 3: Cross multiply
    1,613.15x = 2,419.50 × 572.87
  4. Step 4: Simplify right side
    1,613.15x = 1,386,067.16
  5. Step 5: Solve for x
    x = 1,386,067.16/1,613.15
  6. Step 6: Final answer
    x = 859.23

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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.