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Finding the Fourth Proportional to 2,214.40, 3,314.40 and 1,724.80

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Solution

The fourth proportional to 2,214.40, 3,314.40 and 1,724.80 is: 2,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.40 : 3,314.40 = 1,724.80 : x
  2. Step 2: Convert to fraction form
    2,214.40/3,314.40 = 1,724.80/x
  3. Step 3: Cross multiply
    2,214.40x = 3,314.40 × 1,724.80
  4. Step 4: Simplify right side
    2,214.40x = 5,716,677.12
  5. Step 5: Solve for x
    x = 5,716,677.12/2,214.40
  6. Step 6: Final answer
    x = 2,581.59

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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.