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Finding the Fourth Proportional to 1,700.92, 2,348.22 and 1,363.96

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Solution

The fourth proportional to 1,700.92, 2,348.22 and 1,363.96 is: 1,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.92 : 2,348.22 = 1,363.96 : x
  2. Step 2: Convert to fraction form
    1,700.92/2,348.22 = 1,363.96/x
  3. Step 3: Cross multiply
    1,700.92x = 2,348.22 × 1,363.96
  4. Step 4: Simplify right side
    1,700.92x = 3,202,878.15
  5. Step 5: Solve for x
    x = 3,202,878.15/1,700.92
  6. Step 6: Final answer
    x = 1,883.03

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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.