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Finding the Fourth Proportional to 2,066.63, 3,098.91 and 660.86

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Solution

The fourth proportional to 2,066.63, 3,098.91 and 660.86 is: 990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.63 : 3,098.91 = 660.86 : x
  2. Step 2: Convert to fraction form
    2,066.63/3,098.91 = 660.86/x
  3. Step 3: Cross multiply
    2,066.63x = 3,098.91 × 660.86
  4. Step 4: Simplify right side
    2,066.63x = 2,047,945.66
  5. Step 5: Solve for x
    x = 2,047,945.66/2,066.63
  6. Step 6: Final answer
    x = 990.96

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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.