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Finding the Fourth Proportional to 2,066.29, 3,100.06 and 660.67

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Solution

The fourth proportional to 2,066.29, 3,100.06 and 660.67 is: 991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.29 : 3,100.06 = 660.67 : x
  2. Step 2: Convert to fraction form
    2,066.29/3,100.06 = 660.67/x
  3. Step 3: Cross multiply
    2,066.29x = 3,100.06 × 660.67
  4. Step 4: Simplify right side
    2,066.29x = 2,048,116.64
  5. Step 5: Solve for x
    x = 2,048,116.64/2,066.29
  6. Step 6: Final answer
    x = 991.20

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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.