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Finding the Fourth Proportional to 1,406.01, 1,940.81 and 1,143.57

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Solution

The fourth proportional to 1,406.01, 1,940.81 and 1,143.57 is: 1,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.01 : 1,940.81 = 1,143.57 : x
  2. Step 2: Convert to fraction form
    1,406.01/1,940.81 = 1,143.57/x
  3. Step 3: Cross multiply
    1,406.01x = 1,940.81 × 1,143.57
  4. Step 4: Simplify right side
    1,406.01x = 2,219,446.37
  5. Step 5: Solve for x
    x = 2,219,446.37/1,406.01
  6. Step 6: Final answer
    x = 1,578.54

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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.