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Finding the Fourth Proportional to 2,754.34, 3,799.90 and 1,574.77

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Solution

The fourth proportional to 2,754.34, 3,799.90 and 1,574.77 is: 2,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.34 : 3,799.90 = 1,574.77 : x
  2. Step 2: Convert to fraction form
    2,754.34/3,799.90 = 1,574.77/x
  3. Step 3: Cross multiply
    2,754.34x = 3,799.90 × 1,574.77
  4. Step 4: Simplify right side
    2,754.34x = 5,983,960.65
  5. Step 5: Solve for x
    x = 5,983,960.65/2,754.34
  6. Step 6: Final answer
    x = 2,172.56

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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.