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Finding the Fourth Proportional to 2,035.47, 3,052.35 and 648.44

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Solution

The fourth proportional to 2,035.47, 3,052.35 and 648.44 is: 972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.47 : 3,052.35 = 648.44 : x
  2. Step 2: Convert to fraction form
    2,035.47/3,052.35 = 648.44/x
  3. Step 3: Cross multiply
    2,035.47x = 3,052.35 × 648.44
  4. Step 4: Simplify right side
    2,035.47x = 1,979,250.57
  5. Step 5: Solve for x
    x = 1,979,250.57/2,035.47
  6. Step 6: Final answer
    x = 972.38

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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.