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Finding the Fourth Proportional to 2,639.74, 3,951.72 and 1,596.58

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Solution

The fourth proportional to 2,639.74, 3,951.72 and 1,596.58 is: 2,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.74 : 3,951.72 = 1,596.58 : x
  2. Step 2: Convert to fraction form
    2,639.74/3,951.72 = 1,596.58/x
  3. Step 3: Cross multiply
    2,639.74x = 3,951.72 × 1,596.58
  4. Step 4: Simplify right side
    2,639.74x = 6,309,239.01
  5. Step 5: Solve for x
    x = 6,309,239.01/2,639.74
  6. Step 6: Final answer
    x = 2,390.10

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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.