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Finding the Fourth Proportional to 3,257.06, 4,885.82 and 1,613.17

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Solution

The fourth proportional to 3,257.06, 4,885.82 and 1,613.17 is: 2,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.06 : 4,885.82 = 1,613.17 : x
  2. Step 2: Convert to fraction form
    3,257.06/4,885.82 = 1,613.17/x
  3. Step 3: Cross multiply
    3,257.06x = 4,885.82 × 1,613.17
  4. Step 4: Simplify right side
    3,257.06x = 7,881,650.07
  5. Step 5: Solve for x
    x = 7,881,650.07/3,257.06
  6. Step 6: Final answer
    x = 2,419.86

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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.