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Finding the Fourth Proportional to 2,418.72, 3,338.53 and 1,424.57

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Solution

The fourth proportional to 2,418.72, 3,338.53 and 1,424.57 is: 1,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.72 : 3,338.53 = 1,424.57 : x
  2. Step 2: Convert to fraction form
    2,418.72/3,338.53 = 1,424.57/x
  3. Step 3: Cross multiply
    2,418.72x = 3,338.53 × 1,424.57
  4. Step 4: Simplify right side
    2,418.72x = 4,755,984.29
  5. Step 5: Solve for x
    x = 4,755,984.29/2,418.72
  6. Step 6: Final answer
    x = 1,966.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.