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Finding the Fourth Proportional to 2,035.07, 3,052.45 and 648.45

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Solution

The fourth proportional to 2,035.07, 3,052.45 and 648.45 is: 972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.07 : 3,052.45 = 648.45 : x
  2. Step 2: Convert to fraction form
    2,035.07/3,052.45 = 648.45/x
  3. Step 3: Cross multiply
    2,035.07x = 3,052.45 × 648.45
  4. Step 4: Simplify right side
    2,035.07x = 1,979,361.20
  5. Step 5: Solve for x
    x = 1,979,361.20/2,035.07
  6. Step 6: Final answer
    x = 972.63

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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.