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Finding the Fourth Proportional to 1,724.72, 2,585.67 and 750.12

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Solution

The fourth proportional to 1,724.72, 2,585.67 and 750.12 is: 1,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.72 : 2,585.67 = 750.12 : x
  2. Step 2: Convert to fraction form
    1,724.72/2,585.67 = 750.12/x
  3. Step 3: Cross multiply
    1,724.72x = 2,585.67 × 750.12
  4. Step 4: Simplify right side
    1,724.72x = 1,939,562.78
  5. Step 5: Solve for x
    x = 1,939,562.78/1,724.72
  6. Step 6: Final answer
    x = 1,124.57

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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.