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Finding the Fourth Proportional to 2,540.80, 3,503.76 and 1,832.32

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Solution

The fourth proportional to 2,540.80, 3,503.76 and 1,832.32 is: 2,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.80 : 3,503.76 = 1,832.32 : x
  2. Step 2: Convert to fraction form
    2,540.80/3,503.76 = 1,832.32/x
  3. Step 3: Cross multiply
    2,540.80x = 3,503.76 × 1,832.32
  4. Step 4: Simplify right side
    2,540.80x = 6,420,009.52
  5. Step 5: Solve for x
    x = 6,420,009.52/2,540.80
  6. Step 6: Final answer
    x = 2,526.77

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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.