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Finding the Fourth Proportional to 2,932.03, 4,046.24 and 1,605.86

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Solution

The fourth proportional to 2,932.03, 4,046.24 and 1,605.86 is: 2,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.03 : 4,046.24 = 1,605.86 : x
  2. Step 2: Convert to fraction form
    2,932.03/4,046.24 = 1,605.86/x
  3. Step 3: Cross multiply
    2,932.03x = 4,046.24 × 1,605.86
  4. Step 4: Simplify right side
    2,932.03x = 6,497,678.75
  5. Step 5: Solve for x
    x = 6,497,678.75/2,932.03
  6. Step 6: Final answer
    x = 2,216.10

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