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Finding the Fourth Proportional to 1,656.77, 2,286.34 and 910.78

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Solution

The fourth proportional to 1,656.77, 2,286.34 and 910.78 is: 1,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.77 : 2,286.34 = 910.78 : x
  2. Step 2: Convert to fraction form
    1,656.77/2,286.34 = 910.78/x
  3. Step 3: Cross multiply
    1,656.77x = 2,286.34 × 910.78
  4. Step 4: Simplify right side
    1,656.77x = 2,082,341.31
  5. Step 5: Solve for x
    x = 2,082,341.31/1,656.77
  6. Step 6: Final answer
    x = 1,256.87

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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.