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Finding the Fourth Proportional to 1,443.87, 2,166.41 and 794.55

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Solution

The fourth proportional to 1,443.87, 2,166.41 and 794.55 is: 1,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.87 : 2,166.41 = 794.55 : x
  2. Step 2: Convert to fraction form
    1,443.87/2,166.41 = 794.55/x
  3. Step 3: Cross multiply
    1,443.87x = 2,166.41 × 794.55
  4. Step 4: Simplify right side
    1,443.87x = 1,721,317.09
  5. Step 5: Solve for x
    x = 1,721,317.09/1,443.87
  6. Step 6: Final answer
    x = 1,192.16

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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.