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Finding the Fourth Proportional to 2,360.78, 3,257.74 and 1,298.34

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Solution

The fourth proportional to 2,360.78, 3,257.74 and 1,298.34 is: 1,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.78 : 3,257.74 = 1,298.34 : x
  2. Step 2: Convert to fraction form
    2,360.78/3,257.74 = 1,298.34/x
  3. Step 3: Cross multiply
    2,360.78x = 3,257.74 × 1,298.34
  4. Step 4: Simplify right side
    2,360.78x = 4,229,650.91
  5. Step 5: Solve for x
    x = 4,229,650.91/2,360.78
  6. Step 6: Final answer
    x = 1,791.64

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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.