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Finding the Fourth Proportional to 2,161.77, 2,982.36 and 1,364.82

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Solution

The fourth proportional to 2,161.77, 2,982.36 and 1,364.82 is: 1,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.77 : 2,982.36 = 1,364.82 : x
  2. Step 2: Convert to fraction form
    2,161.77/2,982.36 = 1,364.82/x
  3. Step 3: Cross multiply
    2,161.77x = 2,982.36 × 1,364.82
  4. Step 4: Simplify right side
    2,161.77x = 4,070,384.58
  5. Step 5: Solve for x
    x = 4,070,384.58/2,161.77
  6. Step 6: Final answer
    x = 1,882.89

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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.