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Finding the Fourth Proportional to 2,510.39, 3,765.89 and 867.31

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Solution

The fourth proportional to 2,510.39, 3,765.89 and 867.31 is: 1,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.39 : 3,765.89 = 867.31 : x
  2. Step 2: Convert to fraction form
    2,510.39/3,765.89 = 867.31/x
  3. Step 3: Cross multiply
    2,510.39x = 3,765.89 × 867.31
  4. Step 4: Simplify right side
    2,510.39x = 3,266,194.06
  5. Step 5: Solve for x
    x = 3,266,194.06/2,510.39
  6. Step 6: Final answer
    x = 1,301.07

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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.