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Finding the Fourth Proportional to 2,540.88, 3,811.32 and 1,080

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Solution

The fourth proportional to 2,540.88, 3,811.32 and 1,080 is: 1,620

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.88 : 3,811.32 = 1,080 : x
  2. Step 2: Convert to fraction form
    2,540.88/3,811.32 = 1,080/x
  3. Step 3: Cross multiply
    2,540.88x = 3,811.32 × 1,080
  4. Step 4: Simplify right side
    2,540.88x = 4,116,225.60
  5. Step 5: Solve for x
    x = 4,116,225.60/2,540.88
  6. Step 6: Final answer
    x = 1,620

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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.