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Finding the Fourth Proportional to 1,230.22, 1,684.77 and 1,214.02

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Solution

The fourth proportional to 1,230.22, 1,684.77 and 1,214.02 is: 1,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.22 : 1,684.77 = 1,214.02 : x
  2. Step 2: Convert to fraction form
    1,230.22/1,684.77 = 1,214.02/x
  3. Step 3: Cross multiply
    1,230.22x = 1,684.77 × 1,214.02
  4. Step 4: Simplify right side
    1,230.22x = 2,045,344.48
  5. Step 5: Solve for x
    x = 2,045,344.48/1,230.22
  6. Step 6: Final answer
    x = 1,662.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.