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Finding the Fourth Proportional to 4,453.68, 6,680.90 and 1,166.77

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Solution

The fourth proportional to 4,453.68, 6,680.90 and 1,166.77 is: 1,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.68 : 6,680.90 = 1,166.77 : x
  2. Step 2: Convert to fraction form
    4,453.68/6,680.90 = 1,166.77/x
  3. Step 3: Cross multiply
    4,453.68x = 6,680.90 × 1,166.77
  4. Step 4: Simplify right side
    4,453.68x = 7,795,051.16
  5. Step 5: Solve for x
    x = 7,795,051.16/4,453.68
  6. Step 6: Final answer
    x = 1,750.25

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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.