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Finding the Fourth Proportional to 2,592.44, 3,578.82 and 2,426.66

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Solution

The fourth proportional to 2,592.44, 3,578.82 and 2,426.66 is: 3,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.44 : 3,578.82 = 2,426.66 : x
  2. Step 2: Convert to fraction form
    2,592.44/3,578.82 = 2,426.66/x
  3. Step 3: Cross multiply
    2,592.44x = 3,578.82 × 2,426.66
  4. Step 4: Simplify right side
    2,592.44x = 8,684,579.34
  5. Step 5: Solve for x
    x = 8,684,579.34/2,592.44
  6. Step 6: Final answer
    x = 3,349.96

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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.