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Finding the Fourth Proportional to 2,777.96, 4,166.87 and 1,134.11

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Solution

The fourth proportional to 2,777.96, 4,166.87 and 1,134.11 is: 1,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.96 : 4,166.87 = 1,134.11 : x
  2. Step 2: Convert to fraction form
    2,777.96/4,166.87 = 1,134.11/x
  3. Step 3: Cross multiply
    2,777.96x = 4,166.87 × 1,134.11
  4. Step 4: Simplify right side
    2,777.96x = 4,725,693.68
  5. Step 5: Solve for x
    x = 4,725,693.68/2,777.96
  6. Step 6: Final answer
    x = 1,701.14

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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.