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Finding the Fourth Proportional to 1,436.27, 1,982.42 and 847.19

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Solution

The fourth proportional to 1,436.27, 1,982.42 and 847.19 is: 1,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.27 : 1,982.42 = 847.19 : x
  2. Step 2: Convert to fraction form
    1,436.27/1,982.42 = 847.19/x
  3. Step 3: Cross multiply
    1,436.27x = 1,982.42 × 847.19
  4. Step 4: Simplify right side
    1,436.27x = 1,679,495.06
  5. Step 5: Solve for x
    x = 1,679,495.06/1,436.27
  6. Step 6: Final answer
    x = 1,169.35

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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.