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Finding the Fourth Proportional to 2,264.86, 3,125.46 and 1,270.24

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Solution

The fourth proportional to 2,264.86, 3,125.46 and 1,270.24 is: 1,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.86 : 3,125.46 = 1,270.24 : x
  2. Step 2: Convert to fraction form
    2,264.86/3,125.46 = 1,270.24/x
  3. Step 3: Cross multiply
    2,264.86x = 3,125.46 × 1,270.24
  4. Step 4: Simplify right side
    2,264.86x = 3,970,084.31
  5. Step 5: Solve for x
    x = 3,970,084.31/2,264.86
  6. Step 6: Final answer
    x = 1,752.90

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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.