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Finding the Fourth Proportional to 1,193.88, 1,778.51 and 1,157.61

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Solution

The fourth proportional to 1,193.88, 1,778.51 and 1,157.61 is: 1,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.88 : 1,778.51 = 1,157.61 : x
  2. Step 2: Convert to fraction form
    1,193.88/1,778.51 = 1,157.61/x
  3. Step 3: Cross multiply
    1,193.88x = 1,778.51 × 1,157.61
  4. Step 4: Simplify right side
    1,193.88x = 2,058,812.84
  5. Step 5: Solve for x
    x = 2,058,812.84/1,193.88
  6. Step 6: Final answer
    x = 1,724.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.