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Finding the Fourth Proportional to 1,776.81, 2,452.11 and 1,178.25

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Solution

The fourth proportional to 1,776.81, 2,452.11 and 1,178.25 is: 1,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.81 : 2,452.11 = 1,178.25 : x
  2. Step 2: Convert to fraction form
    1,776.81/2,452.11 = 1,178.25/x
  3. Step 3: Cross multiply
    1,776.81x = 2,452.11 × 1,178.25
  4. Step 4: Simplify right side
    1,776.81x = 2,889,198.61
  5. Step 5: Solve for x
    x = 2,889,198.61/1,776.81
  6. Step 6: Final answer
    x = 1,626.06

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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.