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Finding the Fourth Proportional to 2,861.91, 3,948.63 and 1,742.88

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Solution

The fourth proportional to 2,861.91, 3,948.63 and 1,742.88 is: 2,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.91 : 3,948.63 = 1,742.88 : x
  2. Step 2: Convert to fraction form
    2,861.91/3,948.63 = 1,742.88/x
  3. Step 3: Cross multiply
    2,861.91x = 3,948.63 × 1,742.88
  4. Step 4: Simplify right side
    2,861.91x = 6,881,988.25
  5. Step 5: Solve for x
    x = 6,881,988.25/2,861.91
  6. Step 6: Final answer
    x = 2,404.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.