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Finding the Fourth Proportional to 2,932.57, 4,046.84 and 1,752.94

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Solution

The fourth proportional to 2,932.57, 4,046.84 and 1,752.94 is: 2,418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.57 : 4,046.84 = 1,752.94 : x
  2. Step 2: Convert to fraction form
    2,932.57/4,046.84 = 1,752.94/x
  3. Step 3: Cross multiply
    2,932.57x = 4,046.84 × 1,752.94
  4. Step 4: Simplify right side
    2,932.57x = 7,093,867.71
  5. Step 5: Solve for x
    x = 7,093,867.71/2,932.57
  6. Step 6: Final answer
    x = 2,418.99

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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.