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Finding the Fourth Proportional to 2,380.56, 3,568.78 and 1,283.65

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Solution

The fourth proportional to 2,380.56, 3,568.78 and 1,283.65 is: 1,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.56 : 3,568.78 = 1,283.65 : x
  2. Step 2: Convert to fraction form
    2,380.56/3,568.78 = 1,283.65/x
  3. Step 3: Cross multiply
    2,380.56x = 3,568.78 × 1,283.65
  4. Step 4: Simplify right side
    2,380.56x = 4,581,064.45
  5. Step 5: Solve for x
    x = 4,581,064.45/2,380.56
  6. Step 6: Final answer
    x = 1,924.36

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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.