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Finding the Fourth Proportional to 3,214.49, 4,822.77 and 1,367.15

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Solution

The fourth proportional to 3,214.49, 4,822.77 and 1,367.15 is: 2,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.49 : 4,822.77 = 1,367.15 : x
  2. Step 2: Convert to fraction form
    3,214.49/4,822.77 = 1,367.15/x
  3. Step 3: Cross multiply
    3,214.49x = 4,822.77 × 1,367.15
  4. Step 4: Simplify right side
    3,214.49x = 6,593,460.18
  5. Step 5: Solve for x
    x = 6,593,460.18/3,214.49
  6. Step 6: Final answer
    x = 2,051.17

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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.