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Finding the Fourth Proportional to 1,958.97, 2,938.47 and 498.12

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Solution

The fourth proportional to 1,958.97, 2,938.47 and 498.12 is: 747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.97 : 2,938.47 = 498.12 : x
  2. Step 2: Convert to fraction form
    1,958.97/2,938.47 = 498.12/x
  3. Step 3: Cross multiply
    1,958.97x = 2,938.47 × 498.12
  4. Step 4: Simplify right side
    1,958.97x = 1,463,710.68
  5. Step 5: Solve for x
    x = 1,463,710.68/1,958.97
  6. Step 6: Final answer
    x = 747.18

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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.