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Finding the Fourth Proportional to 2,763.82, 4,139.35 and 1,665.77

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Solution

The fourth proportional to 2,763.82, 4,139.35 and 1,665.77 is: 2,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.82 : 4,139.35 = 1,665.77 : x
  2. Step 2: Convert to fraction form
    2,763.82/4,139.35 = 1,665.77/x
  3. Step 3: Cross multiply
    2,763.82x = 4,139.35 × 1,665.77
  4. Step 4: Simplify right side
    2,763.82x = 6,895,211.23
  5. Step 5: Solve for x
    x = 6,895,211.23/2,763.82
  6. Step 6: Final answer
    x = 2,494.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.