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Finding the Fourth Proportional to 2,066.91, 2,851.20 and 1,309.31

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Solution

The fourth proportional to 2,066.91, 2,851.20 and 1,309.31 is: 1,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.91 : 2,851.20 = 1,309.31 : x
  2. Step 2: Convert to fraction form
    2,066.91/2,851.20 = 1,309.31/x
  3. Step 3: Cross multiply
    2,066.91x = 2,851.20 × 1,309.31
  4. Step 4: Simplify right side
    2,066.91x = 3,733,098.61
  5. Step 5: Solve for x
    x = 3,733,098.61/2,066.91
  6. Step 6: Final answer
    x = 1,806.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.