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Finding the Fourth Proportional to 2,701.71, 4,053.20 and 1,057.81

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Solution

The fourth proportional to 2,701.71, 4,053.20 and 1,057.81 is: 1,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.71 : 4,053.20 = 1,057.81 : x
  2. Step 2: Convert to fraction form
    2,701.71/4,053.20 = 1,057.81/x
  3. Step 3: Cross multiply
    2,701.71x = 4,053.20 × 1,057.81
  4. Step 4: Simplify right side
    2,701.71x = 4,287,515.49
  5. Step 5: Solve for x
    x = 4,287,515.49/2,701.71
  6. Step 6: Final answer
    x = 1,586.96

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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.