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Finding the Fourth Proportional to 4,453.90, 6,680.28 and 1,166.98

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Solution

The fourth proportional to 4,453.90, 6,680.28 and 1,166.98 is: 1,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.90 : 6,680.28 = 1,166.98 : x
  2. Step 2: Convert to fraction form
    4,453.90/6,680.28 = 1,166.98/x
  3. Step 3: Cross multiply
    4,453.90x = 6,680.28 × 1,166.98
  4. Step 4: Simplify right side
    4,453.90x = 7,795,753.15
  5. Step 5: Solve for x
    x = 7,795,753.15/4,453.90
  6. Step 6: Final answer
    x = 1,750.32

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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.