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Finding the Fourth Proportional to 2,504.66, 3,452.29 and 1,882.58

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Solution

The fourth proportional to 2,504.66, 3,452.29 and 1,882.58 is: 2,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.66 : 3,452.29 = 1,882.58 : x
  2. Step 2: Convert to fraction form
    2,504.66/3,452.29 = 1,882.58/x
  3. Step 3: Cross multiply
    2,504.66x = 3,452.29 × 1,882.58
  4. Step 4: Simplify right side
    2,504.66x = 6,499,212.11
  5. Step 5: Solve for x
    x = 6,499,212.11/2,504.66
  6. Step 6: Final answer
    x = 2,594.85

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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.