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Finding the Fourth Proportional to 1,436.17, 2,150.78 and 818

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Solution

The fourth proportional to 1,436.17, 2,150.78 and 818 is: 1,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.17 : 2,150.78 = 818 : x
  2. Step 2: Convert to fraction form
    1,436.17/2,150.78 = 818/x
  3. Step 3: Cross multiply
    1,436.17x = 2,150.78 × 818
  4. Step 4: Simplify right side
    1,436.17x = 1,759,338.04
  5. Step 5: Solve for x
    x = 1,759,338.04/1,436.17
  6. Step 6: Final answer
    x = 1,225.02

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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.