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Finding the Fourth Proportional to 2,381.78, 3,574.14 and 1,149.31

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Solution

The fourth proportional to 2,381.78, 3,574.14 and 1,149.31 is: 1,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.78 : 3,574.14 = 1,149.31 : x
  2. Step 2: Convert to fraction form
    2,381.78/3,574.14 = 1,149.31/x
  3. Step 3: Cross multiply
    2,381.78x = 3,574.14 × 1,149.31
  4. Step 4: Simplify right side
    2,381.78x = 4,107,794.84
  5. Step 5: Solve for x
    x = 4,107,794.84/2,381.78
  6. Step 6: Final answer
    x = 1,724.67

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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.