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Finding the Fourth Proportional to 2,380.51, 3,568.72 and 1,148.78

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Solution

The fourth proportional to 2,380.51, 3,568.72 and 1,148.78 is: 1,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.51 : 3,568.72 = 1,148.78 : x
  2. Step 2: Convert to fraction form
    2,380.51/3,568.72 = 1,148.78/x
  3. Step 3: Cross multiply
    2,380.51x = 3,568.72 × 1,148.78
  4. Step 4: Simplify right side
    2,380.51x = 4,099,679.13
  5. Step 5: Solve for x
    x = 4,099,679.13/2,380.51
  6. Step 6: Final answer
    x = 1,722.18

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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.