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Finding the Fourth Proportional to 2,811.44, 4,215.51 and 1,166.01

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Solution

The fourth proportional to 2,811.44, 4,215.51 and 1,166.01 is: 1,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.44 : 4,215.51 = 1,166.01 : x
  2. Step 2: Convert to fraction form
    2,811.44/4,215.51 = 1,166.01/x
  3. Step 3: Cross multiply
    2,811.44x = 4,215.51 × 1,166.01
  4. Step 4: Simplify right side
    2,811.44x = 4,915,326.82
  5. Step 5: Solve for x
    x = 4,915,326.82/2,811.44
  6. Step 6: Final answer
    x = 1,748.33

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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.