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Finding the Fourth Proportional to 1,690.27, 2,330.98 and 1,221.28

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Solution

The fourth proportional to 1,690.27, 2,330.98 and 1,221.28 is: 1,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.27 : 2,330.98 = 1,221.28 : x
  2. Step 2: Convert to fraction form
    1,690.27/2,330.98 = 1,221.28/x
  3. Step 3: Cross multiply
    1,690.27x = 2,330.98 × 1,221.28
  4. Step 4: Simplify right side
    1,690.27x = 2,846,770.37
  5. Step 5: Solve for x
    x = 2,846,770.37/1,690.27
  6. Step 6: Final answer
    x = 1,684.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.