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Finding the Fourth Proportional to 3,429.52, 4,732.78 and 2,032

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Solution

The fourth proportional to 3,429.52, 4,732.78 and 2,032 is: 2,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.52 : 4,732.78 = 2,032 : x
  2. Step 2: Convert to fraction form
    3,429.52/4,732.78 = 2,032/x
  3. Step 3: Cross multiply
    3,429.52x = 4,732.78 × 2,032
  4. Step 4: Simplify right side
    3,429.52x = 9,617,008.96
  5. Step 5: Solve for x
    x = 9,617,008.96/3,429.52
  6. Step 6: Final answer
    x = 2,804.19

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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.