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Finding the Fourth Proportional to 2,766.48, 3,804.66 and 2,200.29

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Solution

The fourth proportional to 2,766.48, 3,804.66 and 2,200.29 is: 3,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.48 : 3,804.66 = 2,200.29 : x
  2. Step 2: Convert to fraction form
    2,766.48/3,804.66 = 2,200.29/x
  3. Step 3: Cross multiply
    2,766.48x = 3,804.66 × 2,200.29
  4. Step 4: Simplify right side
    2,766.48x = 8,371,355.35
  5. Step 5: Solve for x
    x = 8,371,355.35/2,766.48
  6. Step 6: Final answer
    x = 3,026.00

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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.