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Finding the Fourth Proportional to 2,035.32, 3,053.19 and 648.33

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Solution

The fourth proportional to 2,035.32, 3,053.19 and 648.33 is: 972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.32 : 3,053.19 = 648.33 : x
  2. Step 2: Convert to fraction form
    2,035.32/3,053.19 = 648.33/x
  3. Step 3: Cross multiply
    2,035.32x = 3,053.19 × 648.33
  4. Step 4: Simplify right side
    2,035.32x = 1,979,469.47
  5. Step 5: Solve for x
    x = 1,979,469.47/2,035.32
  6. Step 6: Final answer
    x = 972.56

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