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Finding the Fourth Proportional to 1,732.72, 2,392.34 and 1,284.70

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Solution

The fourth proportional to 1,732.72, 2,392.34 and 1,284.70 is: 1,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.72 : 2,392.34 = 1,284.70 : x
  2. Step 2: Convert to fraction form
    1,732.72/2,392.34 = 1,284.70/x
  3. Step 3: Cross multiply
    1,732.72x = 2,392.34 × 1,284.70
  4. Step 4: Simplify right side
    1,732.72x = 3,073,439.20
  5. Step 5: Solve for x
    x = 3,073,439.20/1,732.72
  6. Step 6: Final answer
    x = 1,773.77

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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.