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Finding the Fourth Proportional to 2,043.39, 3,062.01 and 946.49

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Solution

The fourth proportional to 2,043.39, 3,062.01 and 946.49 is: 1,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.39 : 3,062.01 = 946.49 : x
  2. Step 2: Convert to fraction form
    2,043.39/3,062.01 = 946.49/x
  3. Step 3: Cross multiply
    2,043.39x = 3,062.01 × 946.49
  4. Step 4: Simplify right side
    2,043.39x = 2,898,150.08
  5. Step 5: Solve for x
    x = 2,898,150.08/2,043.39
  6. Step 6: Final answer
    x = 1,418.30

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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.