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Finding the Fourth Proportional to 2,407.01, 3,321.64 and 1,344.80

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Solution

The fourth proportional to 2,407.01, 3,321.64 and 1,344.80 is: 1,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.01 : 3,321.64 = 1,344.80 : x
  2. Step 2: Convert to fraction form
    2,407.01/3,321.64 = 1,344.80/x
  3. Step 3: Cross multiply
    2,407.01x = 3,321.64 × 1,344.80
  4. Step 4: Simplify right side
    2,407.01x = 4,466,930.33
  5. Step 5: Solve for x
    x = 4,466,930.33/2,407.01
  6. Step 6: Final answer
    x = 1,855.80

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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.