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Finding the Fourth Proportional to 2,773.66, 3,826.64 and 1,696.56

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Solution

The fourth proportional to 2,773.66, 3,826.64 and 1,696.56 is: 2,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.66 : 3,826.64 = 1,696.56 : x
  2. Step 2: Convert to fraction form
    2,773.66/3,826.64 = 1,696.56/x
  3. Step 3: Cross multiply
    2,773.66x = 3,826.64 × 1,696.56
  4. Step 4: Simplify right side
    2,773.66x = 6,492,124.36
  5. Step 5: Solve for x
    x = 6,492,124.36/2,773.66
  6. Step 6: Final answer
    x = 2,340.63

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Why These Related Problems?

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