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Finding the Fourth Proportional to 1,378.22, 2,057.23 and 1,214.19

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Solution

The fourth proportional to 1,378.22, 2,057.23 and 1,214.19 is: 1,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.22 : 2,057.23 = 1,214.19 : x
  2. Step 2: Convert to fraction form
    1,378.22/2,057.23 = 1,214.19/x
  3. Step 3: Cross multiply
    1,378.22x = 2,057.23 × 1,214.19
  4. Step 4: Simplify right side
    1,378.22x = 2,497,869.61
  5. Step 5: Solve for x
    x = 2,497,869.61/1,378.22
  6. Step 6: Final answer
    x = 1,812.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.