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Finding the Fourth Proportional to 1,665.46, 2,298.27 and 966.85

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Solution

The fourth proportional to 1,665.46, 2,298.27 and 966.85 is: 1,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.46 : 2,298.27 = 966.85 : x
  2. Step 2: Convert to fraction form
    1,665.46/2,298.27 = 966.85/x
  3. Step 3: Cross multiply
    1,665.46x = 2,298.27 × 966.85
  4. Step 4: Simplify right side
    1,665.46x = 2,222,082.35
  5. Step 5: Solve for x
    x = 2,222,082.35/1,665.46
  6. Step 6: Final answer
    x = 1,334.22

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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.