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Finding the Fourth Proportional to 2,418.56, 3,337.56 and 1,370.84

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Solution

The fourth proportional to 2,418.56, 3,337.56 and 1,370.84 is: 1,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.56 : 3,337.56 = 1,370.84 : x
  2. Step 2: Convert to fraction form
    2,418.56/3,337.56 = 1,370.84/x
  3. Step 3: Cross multiply
    2,418.56x = 3,337.56 × 1,370.84
  4. Step 4: Simplify right side
    2,418.56x = 4,575,260.75
  5. Step 5: Solve for x
    x = 4,575,260.75/2,418.56
  6. Step 6: Final answer
    x = 1,891.73

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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.