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Finding the Fourth Proportional to 2,446.16, 3,374.72 and 1,398

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Solution

The fourth proportional to 2,446.16, 3,374.72 and 1,398 is: 1,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.16 : 3,374.72 = 1,398 : x
  2. Step 2: Convert to fraction form
    2,446.16/3,374.72 = 1,398/x
  3. Step 3: Cross multiply
    2,446.16x = 3,374.72 × 1,398
  4. Step 4: Simplify right side
    2,446.16x = 4,717,858.56
  5. Step 5: Solve for x
    x = 4,717,858.56/2,446.16
  6. Step 6: Final answer
    x = 1,928.68

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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.