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Finding the Fourth Proportional to 2,242, 3,358.68 and 1,317.97

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Solution

The fourth proportional to 2,242, 3,358.68 and 1,317.97 is: 1,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242 : 3,358.68 = 1,317.97 : x
  2. Step 2: Convert to fraction form
    2,242/3,358.68 = 1,317.97/x
  3. Step 3: Cross multiply
    2,242x = 3,358.68 × 1,317.97
  4. Step 4: Simplify right side
    2,242x = 4,426,639.48
  5. Step 5: Solve for x
    x = 4,426,639.48/2,242
  6. Step 6: Final answer
    x = 1,974.42

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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.