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Finding the Fourth Proportional to 2,601.48, 3,898.02 and 2,078.76

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Solution

The fourth proportional to 2,601.48, 3,898.02 and 2,078.76 is: 3,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.48 : 3,898.02 = 2,078.76 : x
  2. Step 2: Convert to fraction form
    2,601.48/3,898.02 = 2,078.76/x
  3. Step 3: Cross multiply
    2,601.48x = 3,898.02 × 2,078.76
  4. Step 4: Simplify right side
    2,601.48x = 8,103,048.06
  5. Step 5: Solve for x
    x = 8,103,048.06/2,601.48
  6. Step 6: Final answer
    x = 3,114.78

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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.