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Finding the Fourth Proportional to 1,981.80, 2,990.52 and 1,909.44

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Solution

The fourth proportional to 1,981.80, 2,990.52 and 1,909.44 is: 2,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.80 : 2,990.52 = 1,909.44 : x
  2. Step 2: Convert to fraction form
    1,981.80/2,990.52 = 1,909.44/x
  3. Step 3: Cross multiply
    1,981.80x = 2,990.52 × 1,909.44
  4. Step 4: Simplify right side
    1,981.80x = 5,710,218.51
  5. Step 5: Solve for x
    x = 5,710,218.51/1,981.80
  6. Step 6: Final answer
    x = 2,881.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.