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Finding the Fourth Proportional to 2,754.79, 3,801.61 and 1,575.88

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Solution

The fourth proportional to 2,754.79, 3,801.61 and 1,575.88 is: 2,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.79 : 3,801.61 = 1,575.88 : x
  2. Step 2: Convert to fraction form
    2,754.79/3,801.61 = 1,575.88/x
  3. Step 3: Cross multiply
    2,754.79x = 3,801.61 × 1,575.88
  4. Step 4: Simplify right side
    2,754.79x = 5,990,881.17
  5. Step 5: Solve for x
    x = 5,990,881.17/2,754.79
  6. Step 6: Final answer
    x = 2,174.71

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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.