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Finding the Fourth Proportional to 2,462.63, 3,398.43 and 1,578.60

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Solution

The fourth proportional to 2,462.63, 3,398.43 and 1,578.60 is: 2,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.63 : 3,398.43 = 1,578.60 : x
  2. Step 2: Convert to fraction form
    2,462.63/3,398.43 = 1,578.60/x
  3. Step 3: Cross multiply
    2,462.63x = 3,398.43 × 1,578.60
  4. Step 4: Simplify right side
    2,462.63x = 5,364,761.60
  5. Step 5: Solve for x
    x = 5,364,761.60/2,462.63
  6. Step 6: Final answer
    x = 2,178.47

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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.