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Finding the Fourth Proportional to 2,232.55, 3,348.72 and 1,061.70

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Solution

The fourth proportional to 2,232.55, 3,348.72 and 1,061.70 is: 1,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.55 : 3,348.72 = 1,061.70 : x
  2. Step 2: Convert to fraction form
    2,232.55/3,348.72 = 1,061.70/x
  3. Step 3: Cross multiply
    2,232.55x = 3,348.72 × 1,061.70
  4. Step 4: Simplify right side
    2,232.55x = 3,555,336.02
  5. Step 5: Solve for x
    x = 3,555,336.02/2,232.55
  6. Step 6: Final answer
    x = 1,592.50

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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.