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Finding the Fourth Proportional to 2,881.56, 4,323.90 and 2,014.20

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Solution

The fourth proportional to 2,881.56, 4,323.90 and 2,014.20 is: 3,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.56 : 4,323.90 = 2,014.20 : x
  2. Step 2: Convert to fraction form
    2,881.56/4,323.90 = 2,014.20/x
  3. Step 3: Cross multiply
    2,881.56x = 4,323.90 × 2,014.20
  4. Step 4: Simplify right side
    2,881.56x = 8,709,199.38
  5. Step 5: Solve for x
    x = 8,709,199.38/2,881.56
  6. Step 6: Final answer
    x = 3,022.39

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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.