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Finding the Fourth Proportional to 2,976.80, 4,111.44 and 2,804

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Solution

The fourth proportional to 2,976.80, 4,111.44 and 2,804 is: 3,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.80 : 4,111.44 = 2,804 : x
  2. Step 2: Convert to fraction form
    2,976.80/4,111.44 = 2,804/x
  3. Step 3: Cross multiply
    2,976.80x = 4,111.44 × 2,804
  4. Step 4: Simplify right side
    2,976.80x = 11,528,477.76
  5. Step 5: Solve for x
    x = 11,528,477.76/2,976.80
  6. Step 6: Final answer
    x = 3,872.78

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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.