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Finding the Fourth Proportional to 2,235.65, 3,351.92 and 849.06

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Solution

The fourth proportional to 2,235.65, 3,351.92 and 849.06 is: 1,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.65 : 3,351.92 = 849.06 : x
  2. Step 2: Convert to fraction form
    2,235.65/3,351.92 = 849.06/x
  3. Step 3: Cross multiply
    2,235.65x = 3,351.92 × 849.06
  4. Step 4: Simplify right side
    2,235.65x = 2,845,976.95
  5. Step 5: Solve for x
    x = 2,845,976.95/2,235.65
  6. Step 6: Final answer
    x = 1,273.00

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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.