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Finding the Fourth Proportional to 2,632.80, 3,642.48 and 2,575.20

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Solution

The fourth proportional to 2,632.80, 3,642.48 and 2,575.20 is: 3,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.80 : 3,642.48 = 2,575.20 : x
  2. Step 2: Convert to fraction form
    2,632.80/3,642.48 = 2,575.20/x
  3. Step 3: Cross multiply
    2,632.80x = 3,642.48 × 2,575.20
  4. Step 4: Simplify right side
    2,632.80x = 9,380,114.50
  5. Step 5: Solve for x
    x = 9,380,114.50/2,632.80
  6. Step 6: Final answer
    x = 3,562.79

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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.