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Finding the Fourth Proportional to 2,422.70, 3,343.04 and 1,360.24

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Solution

The fourth proportional to 2,422.70, 3,343.04 and 1,360.24 is: 1,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.70 : 3,343.04 = 1,360.24 : x
  2. Step 2: Convert to fraction form
    2,422.70/3,343.04 = 1,360.24/x
  3. Step 3: Cross multiply
    2,422.70x = 3,343.04 × 1,360.24
  4. Step 4: Simplify right side
    2,422.70x = 4,547,336.73
  5. Step 5: Solve for x
    x = 4,547,336.73/2,422.70
  6. Step 6: Final answer
    x = 1,876.97

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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.