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Finding the Fourth Proportional to 3,182.90, 4,396.49 and 2,445.93

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Solution

The fourth proportional to 3,182.90, 4,396.49 and 2,445.93 is: 3,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.90 : 4,396.49 = 2,445.93 : x
  2. Step 2: Convert to fraction form
    3,182.90/4,396.49 = 2,445.93/x
  3. Step 3: Cross multiply
    3,182.90x = 4,396.49 × 2,445.93
  4. Step 4: Simplify right side
    3,182.90x = 10,753,506.79
  5. Step 5: Solve for x
    x = 10,753,506.79/3,182.90
  6. Step 6: Final answer
    x = 3,378.52

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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.