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Finding the Fourth Proportional to 1,613.72, 2,419.10 and 587

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Solution

The fourth proportional to 1,613.72, 2,419.10 and 587 is: 879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.72 : 2,419.10 = 587 : x
  2. Step 2: Convert to fraction form
    1,613.72/2,419.10 = 587/x
  3. Step 3: Cross multiply
    1,613.72x = 2,419.10 × 587
  4. Step 4: Simplify right side
    1,613.72x = 1,420,011.70
  5. Step 5: Solve for x
    x = 1,420,011.70/1,613.72
  6. Step 6: Final answer
    x = 879.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.