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Finding the Fourth Proportional to 2,218.82, 3,328.40 and 1,294.47

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Solution

The fourth proportional to 2,218.82, 3,328.40 and 1,294.47 is: 1,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.82 : 3,328.40 = 1,294.47 : x
  2. Step 2: Convert to fraction form
    2,218.82/3,328.40 = 1,294.47/x
  3. Step 3: Cross multiply
    2,218.82x = 3,328.40 × 1,294.47
  4. Step 4: Simplify right side
    2,218.82x = 4,308,513.95
  5. Step 5: Solve for x
    x = 4,308,513.95/2,218.82
  6. Step 6: Final answer
    x = 1,941.80

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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.