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Finding the Fourth Proportional to 2,462.51, 3,398.00 and 1,467.60

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Solution

The fourth proportional to 2,462.51, 3,398.00 and 1,467.60 is: 2,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.51 : 3,398.00 = 1,467.60 : x
  2. Step 2: Convert to fraction form
    2,462.51/3,398.00 = 1,467.60/x
  3. Step 3: Cross multiply
    2,462.51x = 3,398.00 × 1,467.60
  4. Step 4: Simplify right side
    2,462.51x = 4,986,884.72
  5. Step 5: Solve for x
    x = 4,986,884.72/2,462.51
  6. Step 6: Final answer
    x = 2,025.12

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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.