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Finding the Fourth Proportional to 1,724.29, 2,584.98 and 749.66

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Solution

The fourth proportional to 1,724.29, 2,584.98 and 749.66 is: 1,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.29 : 2,584.98 = 749.66 : x
  2. Step 2: Convert to fraction form
    1,724.29/2,584.98 = 749.66/x
  3. Step 3: Cross multiply
    1,724.29x = 2,584.98 × 749.66
  4. Step 4: Simplify right side
    1,724.29x = 1,937,843.18
  5. Step 5: Solve for x
    x = 1,937,843.18/1,724.29
  6. Step 6: Final answer
    x = 1,123.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.