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Finding the Fourth Proportional to 2,754.84, 3,801.64 and 1,575.90

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Solution

The fourth proportional to 2,754.84, 3,801.64 and 1,575.90 is: 2,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.84 : 3,801.64 = 1,575.90 : x
  2. Step 2: Convert to fraction form
    2,754.84/3,801.64 = 1,575.90/x
  3. Step 3: Cross multiply
    2,754.84x = 3,801.64 × 1,575.90
  4. Step 4: Simplify right side
    2,754.84x = 5,991,004.48
  5. Step 5: Solve for x
    x = 5,991,004.48/2,754.84
  6. Step 6: Final answer
    x = 2,174.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.