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Finding the Fourth Proportional to 1,201.32, 1,788.93 and 1,168.92

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Solution

The fourth proportional to 1,201.32, 1,788.93 and 1,168.92 is: 1,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.32 : 1,788.93 = 1,168.92 : x
  2. Step 2: Convert to fraction form
    1,201.32/1,788.93 = 1,168.92/x
  3. Step 3: Cross multiply
    1,201.32x = 1,788.93 × 1,168.92
  4. Step 4: Simplify right side
    1,201.32x = 2,091,116.06
  5. Step 5: Solve for x
    x = 2,091,116.06/1,201.32
  6. Step 6: Final answer
    x = 1,740.68

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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.