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Finding the Fourth Proportional to 2,387.28, 3,579.84 and 743.34

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Solution

The fourth proportional to 2,387.28, 3,579.84 and 743.34 is: 1,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.28 : 3,579.84 = 743.34 : x
  2. Step 2: Convert to fraction form
    2,387.28/3,579.84 = 743.34/x
  3. Step 3: Cross multiply
    2,387.28x = 3,579.84 × 743.34
  4. Step 4: Simplify right side
    2,387.28x = 2,661,038.27
  5. Step 5: Solve for x
    x = 2,661,038.27/2,387.28
  6. Step 6: Final answer
    x = 1,114.67

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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.