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Finding the Fourth Proportional to 2,262.51, 3,121.92 and 1,267.65

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Solution

The fourth proportional to 2,262.51, 3,121.92 and 1,267.65 is: 1,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.51 : 3,121.92 = 1,267.65 : x
  2. Step 2: Convert to fraction form
    2,262.51/3,121.92 = 1,267.65/x
  3. Step 3: Cross multiply
    2,262.51x = 3,121.92 × 1,267.65
  4. Step 4: Simplify right side
    2,262.51x = 3,957,501.89
  5. Step 5: Solve for x
    x = 3,957,501.89/2,262.51
  6. Step 6: Final answer
    x = 1,749.16

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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.