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Finding the Fourth Proportional to 1,711.27, 2,361.57 and 1,002.96

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Solution

The fourth proportional to 1,711.27, 2,361.57 and 1,002.96 is: 1,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.27 : 2,361.57 = 1,002.96 : x
  2. Step 2: Convert to fraction form
    1,711.27/2,361.57 = 1,002.96/x
  3. Step 3: Cross multiply
    1,711.27x = 2,361.57 × 1,002.96
  4. Step 4: Simplify right side
    1,711.27x = 2,368,560.25
  5. Step 5: Solve for x
    x = 2,368,560.25/1,711.27
  6. Step 6: Final answer
    x = 1,384.09

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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.