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Finding the Fourth Proportional to 2,264.25, 3,124.49 and 1,269.33

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Solution

The fourth proportional to 2,264.25, 3,124.49 and 1,269.33 is: 1,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.25 : 3,124.49 = 1,269.33 : x
  2. Step 2: Convert to fraction form
    2,264.25/3,124.49 = 1,269.33/x
  3. Step 3: Cross multiply
    2,264.25x = 3,124.49 × 1,269.33
  4. Step 4: Simplify right side
    2,264.25x = 3,966,008.89
  5. Step 5: Solve for x
    x = 3,966,008.89/2,264.25
  6. Step 6: Final answer
    x = 1,751.58

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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.