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Finding the Fourth Proportional to 2,705.09, 4,057.72 and 1,166.09

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Solution

The fourth proportional to 2,705.09, 4,057.72 and 1,166.09 is: 1,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.09 : 4,057.72 = 1,166.09 : x
  2. Step 2: Convert to fraction form
    2,705.09/4,057.72 = 1,166.09/x
  3. Step 3: Cross multiply
    2,705.09x = 4,057.72 × 1,166.09
  4. Step 4: Simplify right side
    2,705.09x = 4,731,643.51
  5. Step 5: Solve for x
    x = 4,731,643.51/2,705.09
  6. Step 6: Final answer
    x = 1,749.17

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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.