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Finding the Fourth Proportional to 2,737.32, 4,106.04 and 1,639.23

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Solution

The fourth proportional to 2,737.32, 4,106.04 and 1,639.23 is: 2,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.32 : 4,106.04 = 1,639.23 : x
  2. Step 2: Convert to fraction form
    2,737.32/4,106.04 = 1,639.23/x
  3. Step 3: Cross multiply
    2,737.32x = 4,106.04 × 1,639.23
  4. Step 4: Simplify right side
    2,737.32x = 6,730,743.95
  5. Step 5: Solve for x
    x = 6,730,743.95/2,737.32
  6. Step 6: Final answer
    x = 2,458.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.