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Finding the Fourth Proportional to 1,661.80, 2,487.86 and 966.34

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Solution

The fourth proportional to 1,661.80, 2,487.86 and 966.34 is: 1,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.80 : 2,487.86 = 966.34 : x
  2. Step 2: Convert to fraction form
    1,661.80/2,487.86 = 966.34/x
  3. Step 3: Cross multiply
    1,661.80x = 2,487.86 × 966.34
  4. Step 4: Simplify right side
    1,661.80x = 2,404,118.63
  5. Step 5: Solve for x
    x = 2,404,118.63/1,661.80
  6. Step 6: Final answer
    x = 1,446.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.