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Finding the Fourth Proportional to 1,214.48, 1,822.96 and 888.88

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Solution

The fourth proportional to 1,214.48, 1,822.96 and 888.88 is: 1,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.48 : 1,822.96 = 888.88 : x
  2. Step 2: Convert to fraction form
    1,214.48/1,822.96 = 888.88/x
  3. Step 3: Cross multiply
    1,214.48x = 1,822.96 × 888.88
  4. Step 4: Simplify right side
    1,214.48x = 1,620,392.68
  5. Step 5: Solve for x
    x = 1,620,392.68/1,214.48
  6. Step 6: Final answer
    x = 1,334.23

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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.