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Finding the Fourth Proportional to 2,768.80, 4,151.28 and 1,036.96

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Solution

The fourth proportional to 2,768.80, 4,151.28 and 1,036.96 is: 1,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.80 : 4,151.28 = 1,036.96 : x
  2. Step 2: Convert to fraction form
    2,768.80/4,151.28 = 1,036.96/x
  3. Step 3: Cross multiply
    2,768.80x = 4,151.28 × 1,036.96
  4. Step 4: Simplify right side
    2,768.80x = 4,304,711.31
  5. Step 5: Solve for x
    x = 4,304,711.31/2,768.80
  6. Step 6: Final answer
    x = 1,554.72

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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.