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Finding the Fourth Proportional to 2,418.48, 3,626.24 and 958.32

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Solution

The fourth proportional to 2,418.48, 3,626.24 and 958.32 is: 1,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.48 : 3,626.24 = 958.32 : x
  2. Step 2: Convert to fraction form
    2,418.48/3,626.24 = 958.32/x
  3. Step 3: Cross multiply
    2,418.48x = 3,626.24 × 958.32
  4. Step 4: Simplify right side
    2,418.48x = 3,475,098.32
  5. Step 5: Solve for x
    x = 3,475,098.32/2,418.48
  6. Step 6: Final answer
    x = 1,436.89

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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.