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Finding the Fourth Proportional to 2,594.48, 3,885.20 and 2,080.40

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Solution

The fourth proportional to 2,594.48, 3,885.20 and 2,080.40 is: 3,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.48 : 3,885.20 = 2,080.40 : x
  2. Step 2: Convert to fraction form
    2,594.48/3,885.20 = 2,080.40/x
  3. Step 3: Cross multiply
    2,594.48x = 3,885.20 × 2,080.40
  4. Step 4: Simplify right side
    2,594.48x = 8,082,770.08
  5. Step 5: Solve for x
    x = 8,082,770.08/2,594.48
  6. Step 6: Final answer
    x = 3,115.37

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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.