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Finding the Fourth Proportional to 3,232.38, 4,461.42 and 2,053.24

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Solution

The fourth proportional to 3,232.38, 4,461.42 and 2,053.24 is: 2,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.38 : 4,461.42 = 2,053.24 : x
  2. Step 2: Convert to fraction form
    3,232.38/4,461.42 = 2,053.24/x
  3. Step 3: Cross multiply
    3,232.38x = 4,461.42 × 2,053.24
  4. Step 4: Simplify right side
    3,232.38x = 9,160,366.00
  5. Step 5: Solve for x
    x = 9,160,366.00/3,232.38
  6. Step 6: Final answer
    x = 2,833.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.