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Finding the Fourth Proportional to 2,884, 3,981.84 and 1,781.92

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Solution

The fourth proportional to 2,884, 3,981.84 and 1,781.92 is: 2,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884 : 3,981.84 = 1,781.92 : x
  2. Step 2: Convert to fraction form
    2,884/3,981.84 = 1,781.92/x
  3. Step 3: Cross multiply
    2,884x = 3,981.84 × 1,781.92
  4. Step 4: Simplify right side
    2,884x = 7,095,320.33
  5. Step 5: Solve for x
    x = 7,095,320.33/2,884
  6. Step 6: Final answer
    x = 2,460.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.