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Finding the Fourth Proportional to 1,722.92, 2,584.34 and 749.72

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Solution

The fourth proportional to 1,722.92, 2,584.34 and 749.72 is: 1,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.92 : 2,584.34 = 749.72 : x
  2. Step 2: Convert to fraction form
    1,722.92/2,584.34 = 749.72/x
  3. Step 3: Cross multiply
    1,722.92x = 2,584.34 × 749.72
  4. Step 4: Simplify right side
    1,722.92x = 1,937,531.38
  5. Step 5: Solve for x
    x = 1,937,531.38/1,722.92
  6. Step 6: Final answer
    x = 1,124.56

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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.