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Finding the Fourth Proportional to 2,688.48, 3,711.84 and 2,192.31

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Solution

The fourth proportional to 2,688.48, 3,711.84 and 2,192.31 is: 3,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.48 : 3,711.84 = 2,192.31 : x
  2. Step 2: Convert to fraction form
    2,688.48/3,711.84 = 2,192.31/x
  3. Step 3: Cross multiply
    2,688.48x = 3,711.84 × 2,192.31
  4. Step 4: Simplify right side
    2,688.48x = 8,137,503.95
  5. Step 5: Solve for x
    x = 8,137,503.95/2,688.48
  6. Step 6: Final answer
    x = 3,026.80

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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.