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Finding the Fourth Proportional to 2,776.80, 4,166.52 and 1,736.52

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Solution

The fourth proportional to 2,776.80, 4,166.52 and 1,736.52 is: 2,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.80 : 4,166.52 = 1,736.52 : x
  2. Step 2: Convert to fraction form
    2,776.80/4,166.52 = 1,736.52/x
  3. Step 3: Cross multiply
    2,776.80x = 4,166.52 × 1,736.52
  4. Step 4: Simplify right side
    2,776.80x = 7,235,245.31
  5. Step 5: Solve for x
    x = 7,235,245.31/2,776.80
  6. Step 6: Final answer
    x = 2,605.61

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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.