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Finding the Fourth Proportional to 2,535.52, 3,797.74 and 2,091.78

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Solution

The fourth proportional to 2,535.52, 3,797.74 and 2,091.78 is: 3,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.52 : 3,797.74 = 2,091.78 : x
  2. Step 2: Convert to fraction form
    2,535.52/3,797.74 = 2,091.78/x
  3. Step 3: Cross multiply
    2,535.52x = 3,797.74 × 2,091.78
  4. Step 4: Simplify right side
    2,535.52x = 7,944,036.58
  5. Step 5: Solve for x
    x = 7,944,036.58/2,535.52
  6. Step 6: Final answer
    x = 3,133.10

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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.