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Finding the Fourth Proportional to 2,042.00, 3,066.07 and 1,165.49

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Solution

The fourth proportional to 2,042.00, 3,066.07 and 1,165.49 is: 1,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.00 : 3,066.07 = 1,165.49 : x
  2. Step 2: Convert to fraction form
    2,042.00/3,066.07 = 1,165.49/x
  3. Step 3: Cross multiply
    2,042.00x = 3,066.07 × 1,165.49
  4. Step 4: Simplify right side
    2,042.00x = 3,573,471.82
  5. Step 5: Solve for x
    x = 3,573,471.82/2,042.00
  6. Step 6: Final answer
    x = 1,749.99

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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.