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Finding the Fourth Proportional to 1,665.54, 2,298.42 and 966.78

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Solution

The fourth proportional to 1,665.54, 2,298.42 and 966.78 is: 1,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.54 : 2,298.42 = 966.78 : x
  2. Step 2: Convert to fraction form
    1,665.54/2,298.42 = 966.78/x
  3. Step 3: Cross multiply
    1,665.54x = 2,298.42 × 966.78
  4. Step 4: Simplify right side
    1,665.54x = 2,222,066.49
  5. Step 5: Solve for x
    x = 2,222,066.49/1,665.54
  6. Step 6: Final answer
    x = 1,334.14

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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.