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Finding the Fourth Proportional to 1,613.68, 2,407.16 and 1,592.56

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Solution

The fourth proportional to 1,613.68, 2,407.16 and 1,592.56 is: 2,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.68 : 2,407.16 = 1,592.56 : x
  2. Step 2: Convert to fraction form
    1,613.68/2,407.16 = 1,592.56/x
  3. Step 3: Cross multiply
    1,613.68x = 2,407.16 × 1,592.56
  4. Step 4: Simplify right side
    1,613.68x = 3,833,546.73
  5. Step 5: Solve for x
    x = 3,833,546.73/1,613.68
  6. Step 6: Final answer
    x = 2,375.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.