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Finding the Fourth Proportional to 1,656.85, 2,286.44 and 910.79

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Solution

The fourth proportional to 1,656.85, 2,286.44 and 910.79 is: 1,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.85 : 2,286.44 = 910.79 : x
  2. Step 2: Convert to fraction form
    1,656.85/2,286.44 = 910.79/x
  3. Step 3: Cross multiply
    1,656.85x = 2,286.44 × 910.79
  4. Step 4: Simplify right side
    1,656.85x = 2,082,450.70
  5. Step 5: Solve for x
    x = 2,082,450.70/1,656.85
  6. Step 6: Final answer
    x = 1,256.88

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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.