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Finding the Fourth Proportional to 2,945.97, 4,066.22 and 1,826.28

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Solution

The fourth proportional to 2,945.97, 4,066.22 and 1,826.28 is: 2,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.97 : 4,066.22 = 1,826.28 : x
  2. Step 2: Convert to fraction form
    2,945.97/4,066.22 = 1,826.28/x
  3. Step 3: Cross multiply
    2,945.97x = 4,066.22 × 1,826.28
  4. Step 4: Simplify right side
    2,945.97x = 7,426,060.83
  5. Step 5: Solve for x
    x = 7,426,060.83/2,945.97
  6. Step 6: Final answer
    x = 2,520.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.