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Finding the Fourth Proportional to 2,770.27, 4,151.52 and 2,357.78

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Solution

The fourth proportional to 2,770.27, 4,151.52 and 2,357.78 is: 3,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.27 : 4,151.52 = 2,357.78 : x
  2. Step 2: Convert to fraction form
    2,770.27/4,151.52 = 2,357.78/x
  3. Step 3: Cross multiply
    2,770.27x = 4,151.52 × 2,357.78
  4. Step 4: Simplify right side
    2,770.27x = 9,788,350.07
  5. Step 5: Solve for x
    x = 9,788,350.07/2,770.27
  6. Step 6: Final answer
    x = 3,533.36

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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.