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Finding the Fourth Proportional to 2,034.95, 3,052.82 and 648.24

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Solution

The fourth proportional to 2,034.95, 3,052.82 and 648.24 is: 972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.95 : 3,052.82 = 648.24 : x
  2. Step 2: Convert to fraction form
    2,034.95/3,052.82 = 648.24/x
  3. Step 3: Cross multiply
    2,034.95x = 3,052.82 × 648.24
  4. Step 4: Simplify right side
    2,034.95x = 1,978,950.21
  5. Step 5: Solve for x
    x = 1,978,950.21/2,034.95
  6. Step 6: Final answer
    x = 972.48

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1.5x scale

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.