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Finding the Fourth Proportional to 2,034.95, 3,052.39 and 648.26

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Solution

The fourth proportional to 2,034.95, 3,052.39 and 648.26 is: 972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.95 : 3,052.39 = 648.26 : x
  2. Step 2: Convert to fraction form
    2,034.95/3,052.39 = 648.26/x
  3. Step 3: Cross multiply
    2,034.95x = 3,052.39 × 648.26
  4. Step 4: Simplify right side
    2,034.95x = 1,978,748.35
  5. Step 5: Solve for x
    x = 1,978,748.35/2,034.95
  6. Step 6: Final answer
    x = 972.38

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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.