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Finding the Fourth Proportional to 2,754.40, 3,801.06 and 1,575.44

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Solution

The fourth proportional to 2,754.40, 3,801.06 and 1,575.44 is: 2,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.40 : 3,801.06 = 1,575.44 : x
  2. Step 2: Convert to fraction form
    2,754.40/3,801.06 = 1,575.44/x
  3. Step 3: Cross multiply
    2,754.40x = 3,801.06 × 1,575.44
  4. Step 4: Simplify right side
    2,754.40x = 5,988,341.97
  5. Step 5: Solve for x
    x = 5,988,341.97/2,754.40
  6. Step 6: Final answer
    x = 2,174.10

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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.