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Finding the Fourth Proportional to 1,639.91, 2,265.12 and 1,191.08

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Solution

The fourth proportional to 1,639.91, 2,265.12 and 1,191.08 is: 1,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.91 : 2,265.12 = 1,191.08 : x
  2. Step 2: Convert to fraction form
    1,639.91/2,265.12 = 1,191.08/x
  3. Step 3: Cross multiply
    1,639.91x = 2,265.12 × 1,191.08
  4. Step 4: Simplify right side
    1,639.91x = 2,697,944.79
  5. Step 5: Solve for x
    x = 2,697,944.79/1,639.91
  6. Step 6: Final answer
    x = 1,645.18

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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.