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Finding the Fourth Proportional to 2,418.24, 3,337.21 and 1,356.24

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Solution

The fourth proportional to 2,418.24, 3,337.21 and 1,356.24 is: 1,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.24 : 3,337.21 = 1,356.24 : x
  2. Step 2: Convert to fraction form
    2,418.24/3,337.21 = 1,356.24/x
  3. Step 3: Cross multiply
    2,418.24x = 3,337.21 × 1,356.24
  4. Step 4: Simplify right side
    2,418.24x = 4,526,073.81
  5. Step 5: Solve for x
    x = 4,526,073.81/2,418.24
  6. Step 6: Final answer
    x = 1,871.64

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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.