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Finding the Fourth Proportional to 2,914.43, 4,371.56 and 723.13

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Solution

The fourth proportional to 2,914.43, 4,371.56 and 723.13 is: 1,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.43 : 4,371.56 = 723.13 : x
  2. Step 2: Convert to fraction form
    2,914.43/4,371.56 = 723.13/x
  3. Step 3: Cross multiply
    2,914.43x = 4,371.56 × 723.13
  4. Step 4: Simplify right side
    2,914.43x = 3,161,194.35
  5. Step 5: Solve for x
    x = 3,161,194.35/2,914.43
  6. Step 6: Final answer
    x = 1,084.67

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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.