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Finding the Fourth Proportional to 2,264.34, 3,125.16 and 1,269.86

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Solution

The fourth proportional to 2,264.34, 3,125.16 and 1,269.86 is: 1,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.34 : 3,125.16 = 1,269.86 : x
  2. Step 2: Convert to fraction form
    2,264.34/3,125.16 = 1,269.86/x
  3. Step 3: Cross multiply
    2,264.34x = 3,125.16 × 1,269.86
  4. Step 4: Simplify right side
    2,264.34x = 3,968,517.63
  5. Step 5: Solve for x
    x = 3,968,517.63/2,264.34
  6. Step 6: Final answer
    x = 1,752.62

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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.