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Finding the Fourth Proportional to 1,436.38, 2,156.01 and 967.80

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Solution

The fourth proportional to 1,436.38, 2,156.01 and 967.80 is: 1,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.38 : 2,156.01 = 967.80 : x
  2. Step 2: Convert to fraction form
    1,436.38/2,156.01 = 967.80/x
  3. Step 3: Cross multiply
    1,436.38x = 2,156.01 × 967.80
  4. Step 4: Simplify right side
    1,436.38x = 2,086,575.70
  5. Step 5: Solve for x
    x = 2,086,575.70/1,436.38
  6. Step 6: Final answer
    x = 1,452.66

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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.