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Finding the Fourth Proportional to 2,167.84, 2,991.18 and 1,283.95

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Solution

The fourth proportional to 2,167.84, 2,991.18 and 1,283.95 is: 1,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.84 : 2,991.18 = 1,283.95 : x
  2. Step 2: Convert to fraction form
    2,167.84/2,991.18 = 1,283.95/x
  3. Step 3: Cross multiply
    2,167.84x = 2,991.18 × 1,283.95
  4. Step 4: Simplify right side
    2,167.84x = 3,840,525.56
  5. Step 5: Solve for x
    x = 3,840,525.56/2,167.84
  6. Step 6: Final answer
    x = 1,771.59

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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.