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Finding the Fourth Proportional to 2,443.40, 3,662.40 and 1,348.55

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Solution

The fourth proportional to 2,443.40, 3,662.40 and 1,348.55 is: 2,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.40 : 3,662.40 = 1,348.55 : x
  2. Step 2: Convert to fraction form
    2,443.40/3,662.40 = 1,348.55/x
  3. Step 3: Cross multiply
    2,443.40x = 3,662.40 × 1,348.55
  4. Step 4: Simplify right side
    2,443.40x = 4,938,929.52
  5. Step 5: Solve for x
    x = 4,938,929.52/2,443.40
  6. Step 6: Final answer
    x = 2,021.33

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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.