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Finding the Fourth Proportional to 1,436.46, 1,983.05 and 847.18

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Solution

The fourth proportional to 1,436.46, 1,983.05 and 847.18 is: 1,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.46 : 1,983.05 = 847.18 : x
  2. Step 2: Convert to fraction form
    1,436.46/1,983.05 = 847.18/x
  3. Step 3: Cross multiply
    1,436.46x = 1,983.05 × 847.18
  4. Step 4: Simplify right side
    1,436.46x = 1,679,996.06
  5. Step 5: Solve for x
    x = 1,679,996.06/1,436.46
  6. Step 6: Final answer
    x = 1,169.54

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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.