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Finding the Fourth Proportional to 1,656.70, 2,286.29 and 910.71

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Solution

The fourth proportional to 1,656.70, 2,286.29 and 910.71 is: 1,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.70 : 2,286.29 = 910.71 : x
  2. Step 2: Convert to fraction form
    1,656.70/2,286.29 = 910.71/x
  3. Step 3: Cross multiply
    1,656.70x = 2,286.29 × 910.71
  4. Step 4: Simplify right side
    1,656.70x = 2,082,149.44
  5. Step 5: Solve for x
    x = 2,082,149.44/1,656.70
  6. Step 6: Final answer
    x = 1,256.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.