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Finding the Fourth Proportional to 1,193.82, 1,797.71 and 1,041.55

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Solution

The fourth proportional to 1,193.82, 1,797.71 and 1,041.55 is: 1,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.82 : 1,797.71 = 1,041.55 : x
  2. Step 2: Convert to fraction form
    1,193.82/1,797.71 = 1,041.55/x
  3. Step 3: Cross multiply
    1,193.82x = 1,797.71 × 1,041.55
  4. Step 4: Simplify right side
    1,193.82x = 1,872,404.85
  5. Step 5: Solve for x
    x = 1,872,404.85/1,193.82
  6. Step 6: Final answer
    x = 1,568.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.