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Finding the Fourth Proportional to 2,074.82, 2,862.74 and 1,234.98

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Solution

The fourth proportional to 2,074.82, 2,862.74 and 1,234.98 is: 1,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.82 : 2,862.74 = 1,234.98 : x
  2. Step 2: Convert to fraction form
    2,074.82/2,862.74 = 1,234.98/x
  3. Step 3: Cross multiply
    2,074.82x = 2,862.74 × 1,234.98
  4. Step 4: Simplify right side
    2,074.82x = 3,535,429.73
  5. Step 5: Solve for x
    x = 3,535,429.73/2,074.82
  6. Step 6: Final answer
    x = 1,703.97

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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.