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Finding the Fourth Proportional to 2,544.28, 3,502.65 and 2,281.84

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Solution

The fourth proportional to 2,544.28, 3,502.65 and 2,281.84 is: 3,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.28 : 3,502.65 = 2,281.84 : x
  2. Step 2: Convert to fraction form
    2,544.28/3,502.65 = 2,281.84/x
  3. Step 3: Cross multiply
    2,544.28x = 3,502.65 × 2,281.84
  4. Step 4: Simplify right side
    2,544.28x = 7,992,486.88
  5. Step 5: Solve for x
    x = 7,992,486.88/2,544.28
  6. Step 6: Final answer
    x = 3,141.36

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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.