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Finding the Fourth Proportional to 2,771.64, 4,154.90 and 1,039.16

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Solution

The fourth proportional to 2,771.64, 4,154.90 and 1,039.16 is: 1,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.64 : 4,154.90 = 1,039.16 : x
  2. Step 2: Convert to fraction form
    2,771.64/4,154.90 = 1,039.16/x
  3. Step 3: Cross multiply
    2,771.64x = 4,154.90 × 1,039.16
  4. Step 4: Simplify right side
    2,771.64x = 4,317,605.88
  5. Step 5: Solve for x
    x = 4,317,605.88/2,771.64
  6. Step 6: Final answer
    x = 1,557.78

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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.