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Finding the Fourth Proportional to 2,452.71, 3,384.71 and 1,826.04

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Solution

The fourth proportional to 2,452.71, 3,384.71 and 1,826.04 is: 2,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.71 : 3,384.71 = 1,826.04 : x
  2. Step 2: Convert to fraction form
    2,452.71/3,384.71 = 1,826.04/x
  3. Step 3: Cross multiply
    2,452.71x = 3,384.71 × 1,826.04
  4. Step 4: Simplify right side
    2,452.71x = 6,180,620.41
  5. Step 5: Solve for x
    x = 6,180,620.41/2,452.71
  6. Step 6: Final answer
    x = 2,519.91

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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.