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Finding the Fourth Proportional to 2,446.56, 3,375.84 and 1,398.40

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Solution

The fourth proportional to 2,446.56, 3,375.84 and 1,398.40 is: 1,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.56 : 3,375.84 = 1,398.40 : x
  2. Step 2: Convert to fraction form
    2,446.56/3,375.84 = 1,398.40/x
  3. Step 3: Cross multiply
    2,446.56x = 3,375.84 × 1,398.40
  4. Step 4: Simplify right side
    2,446.56x = 4,720,774.66
  5. Step 5: Solve for x
    x = 4,720,774.66/2,446.56
  6. Step 6: Final answer
    x = 1,929.56

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