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Finding the Fourth Proportional to 2,062.81, 2,846.65 and 1,131.31

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Solution

The fourth proportional to 2,062.81, 2,846.65 and 1,131.31 is: 1,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.81 : 2,846.65 = 1,131.31 : x
  2. Step 2: Convert to fraction form
    2,062.81/2,846.65 = 1,131.31/x
  3. Step 3: Cross multiply
    2,062.81x = 2,846.65 × 1,131.31
  4. Step 4: Simplify right side
    2,062.81x = 3,220,443.61
  5. Step 5: Solve for x
    x = 3,220,443.61/2,062.81
  6. Step 6: Final answer
    x = 1,561.19

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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.