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Finding the Fourth Proportional to 2,575.40, 3,544.80 and 2,201.12

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Solution

The fourth proportional to 2,575.40, 3,544.80 and 2,201.12 is: 3,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.40 : 3,544.80 = 2,201.12 : x
  2. Step 2: Convert to fraction form
    2,575.40/3,544.80 = 2,201.12/x
  3. Step 3: Cross multiply
    2,575.40x = 3,544.80 × 2,201.12
  4. Step 4: Simplify right side
    2,575.40x = 7,802,530.18
  5. Step 5: Solve for x
    x = 7,802,530.18/2,575.40
  6. Step 6: Final answer
    x = 3,029.64

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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.