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Finding the Fourth Proportional to 2,035.40, 3,052.02 and 648.14

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Solution

The fourth proportional to 2,035.40, 3,052.02 and 648.14 is: 971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.40 : 3,052.02 = 648.14 : x
  2. Step 2: Convert to fraction form
    2,035.40/3,052.02 = 648.14/x
  3. Step 3: Cross multiply
    2,035.40x = 3,052.02 × 648.14
  4. Step 4: Simplify right side
    2,035.40x = 1,978,136.24
  5. Step 5: Solve for x
    x = 1,978,136.24/2,035.40
  6. Step 6: Final answer
    x = 971.87

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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.