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Finding the Fourth Proportional to 2,042.40, 3,062.76 and 809.64

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Solution

The fourth proportional to 2,042.40, 3,062.76 and 809.64 is: 1,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.40 : 3,062.76 = 809.64 : x
  2. Step 2: Convert to fraction form
    2,042.40/3,062.76 = 809.64/x
  3. Step 3: Cross multiply
    2,042.40x = 3,062.76 × 809.64
  4. Step 4: Simplify right side
    2,042.40x = 2,479,733.01
  5. Step 5: Solve for x
    x = 2,479,733.01/2,042.40
  6. Step 6: Final answer
    x = 1,214.13

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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.