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Finding the Fourth Proportional to 1,438.56, 1,981.36 and 1,143.32

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Solution

The fourth proportional to 1,438.56, 1,981.36 and 1,143.32 is: 1,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.56 : 1,981.36 = 1,143.32 : x
  2. Step 2: Convert to fraction form
    1,438.56/1,981.36 = 1,143.32/x
  3. Step 3: Cross multiply
    1,438.56x = 1,981.36 × 1,143.32
  4. Step 4: Simplify right side
    1,438.56x = 2,265,320.04
  5. Step 5: Solve for x
    x = 2,265,320.04/1,438.56
  6. Step 6: Final answer
    x = 1,574.71

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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.