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Finding the Fourth Proportional to 2,265.88, 3,126.92 and 1,322.32

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Solution

The fourth proportional to 2,265.88, 3,126.92 and 1,322.32 is: 1,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.88 : 3,126.92 = 1,322.32 : x
  2. Step 2: Convert to fraction form
    2,265.88/3,126.92 = 1,322.32/x
  3. Step 3: Cross multiply
    2,265.88x = 3,126.92 × 1,322.32
  4. Step 4: Simplify right side
    2,265.88x = 4,134,766.61
  5. Step 5: Solve for x
    x = 4,134,766.61/2,265.88
  6. Step 6: Final answer
    x = 1,824.80

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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.