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Finding the Fourth Proportional to 3,126.76, 4,315.78 and 2,078.44

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Solution

The fourth proportional to 3,126.76, 4,315.78 and 2,078.44 is: 2,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.76 : 4,315.78 = 2,078.44 : x
  2. Step 2: Convert to fraction form
    3,126.76/4,315.78 = 2,078.44/x
  3. Step 3: Cross multiply
    3,126.76x = 4,315.78 × 2,078.44
  4. Step 4: Simplify right side
    3,126.76x = 8,970,089.78
  5. Step 5: Solve for x
    x = 8,970,089.78/3,126.76
  6. Step 6: Final answer
    x = 2,868.81

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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.