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Finding the Fourth Proportional to 2,729.64, 4,091.25 and 1,265.72

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Solution

The fourth proportional to 2,729.64, 4,091.25 and 1,265.72 is: 1,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.64 : 4,091.25 = 1,265.72 : x
  2. Step 2: Convert to fraction form
    2,729.64/4,091.25 = 1,265.72/x
  3. Step 3: Cross multiply
    2,729.64x = 4,091.25 × 1,265.72
  4. Step 4: Simplify right side
    2,729.64x = 5,178,356.49
  5. Step 5: Solve for x
    x = 5,178,356.49/2,729.64
  6. Step 6: Final answer
    x = 1,897.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.