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Finding the Fourth Proportional to 2,248.75, 3,104.76 and 1,464.13

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Solution

The fourth proportional to 2,248.75, 3,104.76 and 1,464.13 is: 2,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.75 : 3,104.76 = 1,464.13 : x
  2. Step 2: Convert to fraction form
    2,248.75/3,104.76 = 1,464.13/x
  3. Step 3: Cross multiply
    2,248.75x = 3,104.76 × 1,464.13
  4. Step 4: Simplify right side
    2,248.75x = 4,545,772.26
  5. Step 5: Solve for x
    x = 4,545,772.26/2,248.75
  6. Step 6: Final answer
    x = 2,021.47

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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.