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Finding the Fourth Proportional to 2,418.72, 3,624.72 and 1,262.16

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Solution

The fourth proportional to 2,418.72, 3,624.72 and 1,262.16 is: 1,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.72 : 3,624.72 = 1,262.16 : x
  2. Step 2: Convert to fraction form
    2,418.72/3,624.72 = 1,262.16/x
  3. Step 3: Cross multiply
    2,418.72x = 3,624.72 × 1,262.16
  4. Step 4: Simplify right side
    2,418.72x = 4,574,976.60
  5. Step 5: Solve for x
    x = 4,574,976.60/2,418.72
  6. Step 6: Final answer
    x = 1,891.49

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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.