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Finding the Fourth Proportional to 2,618.57, 3,925.42 and 2,127.71

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Solution

The fourth proportional to 2,618.57, 3,925.42 and 2,127.71 is: 3,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.57 : 3,925.42 = 2,127.71 : x
  2. Step 2: Convert to fraction form
    2,618.57/3,925.42 = 2,127.71/x
  3. Step 3: Cross multiply
    2,618.57x = 3,925.42 × 2,127.71
  4. Step 4: Simplify right side
    2,618.57x = 8,352,155.39
  5. Step 5: Solve for x
    x = 8,352,155.39/2,618.57
  6. Step 6: Final answer
    x = 3,189.59

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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.