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Finding the Fourth Proportional to 1,724.38, 2,586.97 and 570.13

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Solution

The fourth proportional to 1,724.38, 2,586.97 and 570.13 is: 855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.38 : 2,586.97 = 570.13 : x
  2. Step 2: Convert to fraction form
    1,724.38/2,586.97 = 570.13/x
  3. Step 3: Cross multiply
    1,724.38x = 2,586.97 × 570.13
  4. Step 4: Simplify right side
    1,724.38x = 1,474,896.27
  5. Step 5: Solve for x
    x = 1,474,896.27/1,724.38
  6. Step 6: Final answer
    x = 855.32

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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.