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Finding the Fourth Proportional to 2,063.97, 2,848.34 and 1,167.77

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Solution

The fourth proportional to 2,063.97, 2,848.34 and 1,167.77 is: 1,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.97 : 2,848.34 = 1,167.77 : x
  2. Step 2: Convert to fraction form
    2,063.97/2,848.34 = 1,167.77/x
  3. Step 3: Cross multiply
    2,063.97x = 2,848.34 × 1,167.77
  4. Step 4: Simplify right side
    2,063.97x = 3,326,216.04
  5. Step 5: Solve for x
    x = 3,326,216.04/2,063.97
  6. Step 6: Final answer
    x = 1,611.56

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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.