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Finding the Fourth Proportional to 1,214.39, 1,822.64 and 997.79

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Solution

The fourth proportional to 1,214.39, 1,822.64 and 997.79 is: 1,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.39 : 1,822.64 = 997.79 : x
  2. Step 2: Convert to fraction form
    1,214.39/1,822.64 = 997.79/x
  3. Step 3: Cross multiply
    1,214.39x = 1,822.64 × 997.79
  4. Step 4: Simplify right side
    1,214.39x = 1,818,597.86
  5. Step 5: Solve for x
    x = 1,818,597.86/1,214.39
  6. Step 6: Final answer
    x = 1,497.54

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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.