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Finding the Fourth Proportional to 2,695.99, 4,042.56 and 846.61

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Solution

The fourth proportional to 2,695.99, 4,042.56 and 846.61 is: 1,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.99 : 4,042.56 = 846.61 : x
  2. Step 2: Convert to fraction form
    2,695.99/4,042.56 = 846.61/x
  3. Step 3: Cross multiply
    2,695.99x = 4,042.56 × 846.61
  4. Step 4: Simplify right side
    2,695.99x = 3,422,471.72
  5. Step 5: Solve for x
    x = 3,422,471.72/2,695.99
  6. Step 6: Final answer
    x = 1,269.47

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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.