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Finding the Fourth Proportional to 1,143.58, 1,717.35 and 1,091.64

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Solution

The fourth proportional to 1,143.58, 1,717.35 and 1,091.64 is: 1,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.58 : 1,717.35 = 1,091.64 : x
  2. Step 2: Convert to fraction form
    1,143.58/1,717.35 = 1,091.64/x
  3. Step 3: Cross multiply
    1,143.58x = 1,717.35 × 1,091.64
  4. Step 4: Simplify right side
    1,143.58x = 1,874,727.95
  5. Step 5: Solve for x
    x = 1,874,727.95/1,143.58
  6. Step 6: Final answer
    x = 1,639.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.