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Finding the Fourth Proportional to 2,380.28, 3,569.78 and 841.08

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Solution

The fourth proportional to 2,380.28, 3,569.78 and 841.08 is: 1,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.28 : 3,569.78 = 841.08 : x
  2. Step 2: Convert to fraction form
    2,380.28/3,569.78 = 841.08/x
  3. Step 3: Cross multiply
    2,380.28x = 3,569.78 × 841.08
  4. Step 4: Simplify right side
    2,380.28x = 3,002,470.56
  5. Step 5: Solve for x
    x = 3,002,470.56/2,380.28
  6. Step 6: Final answer
    x = 1,261.39

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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.