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Finding the Fourth Proportional to 2,412.88, 3,329.40 and 1,468.96

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Solution

The fourth proportional to 2,412.88, 3,329.40 and 1,468.96 is: 2,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.88 : 3,329.40 = 1,468.96 : x
  2. Step 2: Convert to fraction form
    2,412.88/3,329.40 = 1,468.96/x
  3. Step 3: Cross multiply
    2,412.88x = 3,329.40 × 1,468.96
  4. Step 4: Simplify right side
    2,412.88x = 4,890,755.42
  5. Step 5: Solve for x
    x = 4,890,755.42/2,412.88
  6. Step 6: Final answer
    x = 2,026.94

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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.