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Finding the Fourth Proportional to 2,407.67, 3,325.52 and 1,743.47

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Solution

The fourth proportional to 2,407.67, 3,325.52 and 1,743.47 is: 2,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.67 : 3,325.52 = 1,743.47 : x
  2. Step 2: Convert to fraction form
    2,407.67/3,325.52 = 1,743.47/x
  3. Step 3: Cross multiply
    2,407.67x = 3,325.52 × 1,743.47
  4. Step 4: Simplify right side
    2,407.67x = 5,797,919.01
  5. Step 5: Solve for x
    x = 5,797,919.01/2,407.67
  6. Step 6: Final answer
    x = 2,408.11

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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.