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Finding the Fourth Proportional to 2,074.78, 3,113.72 and 1,295.92

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Solution

The fourth proportional to 2,074.78, 3,113.72 and 1,295.92 is: 1,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.78 : 3,113.72 = 1,295.92 : x
  2. Step 2: Convert to fraction form
    2,074.78/3,113.72 = 1,295.92/x
  3. Step 3: Cross multiply
    2,074.78x = 3,113.72 × 1,295.92
  4. Step 4: Simplify right side
    2,074.78x = 4,035,132.02
  5. Step 5: Solve for x
    x = 4,035,132.02/2,074.78
  6. Step 6: Final answer
    x = 1,944.85

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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.