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Finding the Fourth Proportional to 3,232.52, 4,841.49 and 1,497.50

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Solution

The fourth proportional to 3,232.52, 4,841.49 and 1,497.50 is: 2,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.52 : 4,841.49 = 1,497.50 : x
  2. Step 2: Convert to fraction form
    3,232.52/4,841.49 = 1,497.50/x
  3. Step 3: Cross multiply
    3,232.52x = 4,841.49 × 1,497.50
  4. Step 4: Simplify right side
    3,232.52x = 7,250,131.28
  5. Step 5: Solve for x
    x = 7,250,131.28/3,232.52
  6. Step 6: Final answer
    x = 2,242.87

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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.