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Finding the Fourth Proportional to 2,883.78, 4,327.56 and 1,586.16

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Solution

The fourth proportional to 2,883.78, 4,327.56 and 1,586.16 is: 2,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.78 : 4,327.56 = 1,586.16 : x
  2. Step 2: Convert to fraction form
    2,883.78/4,327.56 = 1,586.16/x
  3. Step 3: Cross multiply
    2,883.78x = 4,327.56 × 1,586.16
  4. Step 4: Simplify right side
    2,883.78x = 6,864,202.57
  5. Step 5: Solve for x
    x = 6,864,202.57/2,883.78
  6. Step 6: Final answer
    x = 2,380.28

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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.