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Finding the Fourth Proportional to 1,436.88, 1,982.82 and 847.74

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Solution

The fourth proportional to 1,436.88, 1,982.82 and 847.74 is: 1,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.88 : 1,982.82 = 847.74 : x
  2. Step 2: Convert to fraction form
    1,436.88/1,982.82 = 847.74/x
  3. Step 3: Cross multiply
    1,436.88x = 1,982.82 × 847.74
  4. Step 4: Simplify right side
    1,436.88x = 1,680,915.83
  5. Step 5: Solve for x
    x = 1,680,915.83/1,436.88
  6. Step 6: Final answer
    x = 1,169.84

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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.