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Finding the Fourth Proportional to 3,123.60, 4,313.16 and 2,080.40

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Solution

The fourth proportional to 3,123.60, 4,313.16 and 2,080.40 is: 2,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.60 : 4,313.16 = 2,080.40 : x
  2. Step 2: Convert to fraction form
    3,123.60/4,313.16 = 2,080.40/x
  3. Step 3: Cross multiply
    3,123.60x = 4,313.16 × 2,080.40
  4. Step 4: Simplify right side
    3,123.60x = 8,973,098.06
  5. Step 5: Solve for x
    x = 8,973,098.06/3,123.60
  6. Step 6: Final answer
    x = 2,872.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.