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Finding the Fourth Proportional to 2,077.84, 2,867.82 and 1,368.44

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Solution

The fourth proportional to 2,077.84, 2,867.82 and 1,368.44 is: 1,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.84 : 2,867.82 = 1,368.44 : x
  2. Step 2: Convert to fraction form
    2,077.84/2,867.82 = 1,368.44/x
  3. Step 3: Cross multiply
    2,077.84x = 2,867.82 × 1,368.44
  4. Step 4: Simplify right side
    2,077.84x = 3,924,439.60
  5. Step 5: Solve for x
    x = 3,924,439.60/2,077.84
  6. Step 6: Final answer
    x = 1,888.71

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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.