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Finding the Fourth Proportional to 3,062.48, 4,227 and 1,944.08

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Solution

The fourth proportional to 3,062.48, 4,227 and 1,944.08 is: 2,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.48 : 4,227 = 1,944.08 : x
  2. Step 2: Convert to fraction form
    3,062.48/4,227 = 1,944.08/x
  3. Step 3: Cross multiply
    3,062.48x = 4,227 × 1,944.08
  4. Step 4: Simplify right side
    3,062.48x = 8,217,626.16
  5. Step 5: Solve for x
    x = 8,217,626.16/3,062.48
  6. Step 6: Final answer
    x = 2,683.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.