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Finding the Fourth Proportional to 2,809.88, 4,215.63 and 1,166.12

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Solution

The fourth proportional to 2,809.88, 4,215.63 and 1,166.12 is: 1,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.88 : 4,215.63 = 1,166.12 : x
  2. Step 2: Convert to fraction form
    2,809.88/4,215.63 = 1,166.12/x
  3. Step 3: Cross multiply
    2,809.88x = 4,215.63 × 1,166.12
  4. Step 4: Simplify right side
    2,809.88x = 4,915,930.46
  5. Step 5: Solve for x
    x = 4,915,930.46/2,809.88
  6. Step 6: Final answer
    x = 1,749.52

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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.