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Finding the Fourth Proportional to 2,042.97, 2,821.87 and 1,776.88

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Solution

The fourth proportional to 2,042.97, 2,821.87 and 1,776.88 is: 2,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.97 : 2,821.87 = 1,776.88 : x
  2. Step 2: Convert to fraction form
    2,042.97/2,821.87 = 1,776.88/x
  3. Step 3: Cross multiply
    2,042.97x = 2,821.87 × 1,776.88
  4. Step 4: Simplify right side
    2,042.97x = 5,014,124.37
  5. Step 5: Solve for x
    x = 5,014,124.37/2,042.97
  6. Step 6: Final answer
    x = 2,454.33

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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.