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Finding the Fourth Proportional to 2,535.74, 3,797.72 and 2,448.14

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Solution

The fourth proportional to 2,535.74, 3,797.72 and 2,448.14 is: 3,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.74 : 3,797.72 = 2,448.14 : x
  2. Step 2: Convert to fraction form
    2,535.74/3,797.72 = 2,448.14/x
  3. Step 3: Cross multiply
    2,535.74x = 3,797.72 × 2,448.14
  4. Step 4: Simplify right side
    2,535.74x = 9,297,319.01
  5. Step 5: Solve for x
    x = 9,297,319.01/2,535.74
  6. Step 6: Final answer
    x = 3,666.52

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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.