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Finding the Fourth Proportional to 2,501.97, 3,450.98 and 2,029.88

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Solution

The fourth proportional to 2,501.97, 3,450.98 and 2,029.88 is: 2,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.97 : 3,450.98 = 2,029.88 : x
  2. Step 2: Convert to fraction form
    2,501.97/3,450.98 = 2,029.88/x
  3. Step 3: Cross multiply
    2,501.97x = 3,450.98 × 2,029.88
  4. Step 4: Simplify right side
    2,501.97x = 7,005,075.28
  5. Step 5: Solve for x
    x = 7,005,075.28/2,501.97
  6. Step 6: Final answer
    x = 2,799.82

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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.