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Finding the Fourth Proportional to 1,591.82, 2,196.81 and 1,059.77

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Solution

The fourth proportional to 1,591.82, 2,196.81 and 1,059.77 is: 1,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.82 : 2,196.81 = 1,059.77 : x
  2. Step 2: Convert to fraction form
    1,591.82/2,196.81 = 1,059.77/x
  3. Step 3: Cross multiply
    1,591.82x = 2,196.81 × 1,059.77
  4. Step 4: Simplify right side
    1,591.82x = 2,328,113.33
  5. Step 5: Solve for x
    x = 2,328,113.33/1,591.82
  6. Step 6: Final answer
    x = 1,462.55

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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.