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Finding the Fourth Proportional to 2,288.50, 3,432.78 and 749.50

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Solution

The fourth proportional to 2,288.50, 3,432.78 and 749.50 is: 1,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.50 : 3,432.78 = 749.50 : x
  2. Step 2: Convert to fraction form
    2,288.50/3,432.78 = 749.50/x
  3. Step 3: Cross multiply
    2,288.50x = 3,432.78 × 749.50
  4. Step 4: Simplify right side
    2,288.50x = 2,572,868.61
  5. Step 5: Solve for x
    x = 2,572,868.61/2,288.50
  6. Step 6: Final answer
    x = 1,124.26

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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.