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Finding the Fourth Proportional to 2,110.50, 2,909.16 and 1,690.20

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Solution

The fourth proportional to 2,110.50, 2,909.16 and 1,690.20 is: 2,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.50 : 2,909.16 = 1,690.20 : x
  2. Step 2: Convert to fraction form
    2,110.50/2,909.16 = 1,690.20/x
  3. Step 3: Cross multiply
    2,110.50x = 2,909.16 × 1,690.20
  4. Step 4: Simplify right side
    2,110.50x = 4,917,062.23
  5. Step 5: Solve for x
    x = 4,917,062.23/2,110.50
  6. Step 6: Final answer
    x = 2,329.81

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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.