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Finding the Fourth Proportional to 2,546.97, 3,514.62 and 1,552.13

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Solution

The fourth proportional to 2,546.97, 3,514.62 and 1,552.13 is: 2,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.97 : 3,514.62 = 1,552.13 : x
  2. Step 2: Convert to fraction form
    2,546.97/3,514.62 = 1,552.13/x
  3. Step 3: Cross multiply
    2,546.97x = 3,514.62 × 1,552.13
  4. Step 4: Simplify right side
    2,546.97x = 5,455,129.57
  5. Step 5: Solve for x
    x = 5,455,129.57/2,546.97
  6. Step 6: Final answer
    x = 2,141.81

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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.