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Finding the Fourth Proportional to 2,352.57, 3,247.17 and 1,467.84

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Solution

The fourth proportional to 2,352.57, 3,247.17 and 1,467.84 is: 2,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.57 : 3,247.17 = 1,467.84 : x
  2. Step 2: Convert to fraction form
    2,352.57/3,247.17 = 1,467.84/x
  3. Step 3: Cross multiply
    2,352.57x = 3,247.17 × 1,467.84
  4. Step 4: Simplify right side
    2,352.57x = 4,766,326.01
  5. Step 5: Solve for x
    x = 4,766,326.01/2,352.57
  6. Step 6: Final answer
    x = 2,026.01

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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.