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Finding the Fourth Proportional to 1,613.06, 2,419.97 and 502.41

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Solution

The fourth proportional to 1,613.06, 2,419.97 and 502.41 is: 753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.06 : 2,419.97 = 502.41 : x
  2. Step 2: Convert to fraction form
    1,613.06/2,419.97 = 502.41/x
  3. Step 3: Cross multiply
    1,613.06x = 2,419.97 × 502.41
  4. Step 4: Simplify right side
    1,613.06x = 1,215,823.69
  5. Step 5: Solve for x
    x = 1,215,823.69/1,613.06
  6. Step 6: Final answer
    x = 753.74

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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.