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Finding the Fourth Proportional to 2,041.68, 3,061.17 and 809.67

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Solution

The fourth proportional to 2,041.68, 3,061.17 and 809.67 is: 1,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.68 : 3,061.17 = 809.67 : x
  2. Step 2: Convert to fraction form
    2,041.68/3,061.17 = 809.67/x
  3. Step 3: Cross multiply
    2,041.68x = 3,061.17 × 809.67
  4. Step 4: Simplify right side
    2,041.68x = 2,478,537.51
  5. Step 5: Solve for x
    x = 2,478,537.51/2,041.68
  6. Step 6: Final answer
    x = 1,213.97

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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.