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Finding the Fourth Proportional to 2,914.14, 4,371.29 and 722.84

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Solution

The fourth proportional to 2,914.14, 4,371.29 and 722.84 is: 1,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.14 : 4,371.29 = 722.84 : x
  2. Step 2: Convert to fraction form
    2,914.14/4,371.29 = 722.84/x
  3. Step 3: Cross multiply
    2,914.14x = 4,371.29 × 722.84
  4. Step 4: Simplify right side
    2,914.14x = 3,159,717.79
  5. Step 5: Solve for x
    x = 3,159,717.79/2,914.14
  6. Step 6: Final answer
    x = 1,084.27

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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.