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Finding the Fourth Proportional to 2,753.14, 3,799.79 and 1,758.91

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Solution

The fourth proportional to 2,753.14, 3,799.79 and 1,758.91 is: 2,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.14 : 3,799.79 = 1,758.91 : x
  2. Step 2: Convert to fraction form
    2,753.14/3,799.79 = 1,758.91/x
  3. Step 3: Cross multiply
    2,753.14x = 3,799.79 × 1,758.91
  4. Step 4: Simplify right side
    2,753.14x = 6,683,488.63
  5. Step 5: Solve for x
    x = 6,683,488.63/2,753.14
  6. Step 6: Final answer
    x = 2,427.59

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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.