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Finding the Fourth Proportional to 2,639.80, 3,642.88 and 1,520.74

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Solution

The fourth proportional to 2,639.80, 3,642.88 and 1,520.74 is: 2,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.80 : 3,642.88 = 1,520.74 : x
  2. Step 2: Convert to fraction form
    2,639.80/3,642.88 = 1,520.74/x
  3. Step 3: Cross multiply
    2,639.80x = 3,642.88 × 1,520.74
  4. Step 4: Simplify right side
    2,639.80x = 5,539,851.31
  5. Step 5: Solve for x
    x = 5,539,851.31/2,639.80
  6. Step 6: Final answer
    x = 2,098.59

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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.