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Finding the Fourth Proportional to 2,754.54, 3,801.46 and 1,575.66

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Solution

The fourth proportional to 2,754.54, 3,801.46 and 1,575.66 is: 2,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.54 : 3,801.46 = 1,575.66 : x
  2. Step 2: Convert to fraction form
    2,754.54/3,801.46 = 1,575.66/x
  3. Step 3: Cross multiply
    2,754.54x = 3,801.46 × 1,575.66
  4. Step 4: Simplify right side
    2,754.54x = 5,989,808.46
  5. Step 5: Solve for x
    x = 5,989,808.46/2,754.54
  6. Step 6: Final answer
    x = 2,174.52

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1.5x scale

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.