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Finding the Fourth Proportional to 2,750.68, 3,792.31 and 2,276.83

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Solution

The fourth proportional to 2,750.68, 3,792.31 and 2,276.83 is: 3,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.68 : 3,792.31 = 2,276.83 : x
  2. Step 2: Convert to fraction form
    2,750.68/3,792.31 = 2,276.83/x
  3. Step 3: Cross multiply
    2,750.68x = 3,792.31 × 2,276.83
  4. Step 4: Simplify right side
    2,750.68x = 8,634,445.18
  5. Step 5: Solve for x
    x = 8,634,445.18/2,750.68
  6. Step 6: Final answer
    x = 3,139.02

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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.