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Finding the Fourth Proportional to 2,034.90, 3,052.44 and 864.93

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Solution

The fourth proportional to 2,034.90, 3,052.44 and 864.93 is: 1,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.90 : 3,052.44 = 864.93 : x
  2. Step 2: Convert to fraction form
    2,034.90/3,052.44 = 864.93/x
  3. Step 3: Cross multiply
    2,034.90x = 3,052.44 × 864.93
  4. Step 4: Simplify right side
    2,034.90x = 2,640,146.93
  5. Step 5: Solve for x
    x = 2,640,146.93/2,034.90
  6. Step 6: Final answer
    x = 1,297.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.