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Finding the Fourth Proportional to 2,777.80, 4,166.71 and 1,134.35

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Solution

The fourth proportional to 2,777.80, 4,166.71 and 1,134.35 is: 1,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.80 : 4,166.71 = 1,134.35 : x
  2. Step 2: Convert to fraction form
    2,777.80/4,166.71 = 1,134.35/x
  3. Step 3: Cross multiply
    2,777.80x = 4,166.71 × 1,134.35
  4. Step 4: Simplify right side
    2,777.80x = 4,726,505.43
  5. Step 5: Solve for x
    x = 4,726,505.43/2,777.80
  6. Step 6: Final answer
    x = 1,701.53

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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.