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Finding the Fourth Proportional to 2,955.24, 4,077.98 and 1,696.27

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Solution

The fourth proportional to 2,955.24, 4,077.98 and 1,696.27 is: 2,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.24 : 4,077.98 = 1,696.27 : x
  2. Step 2: Convert to fraction form
    2,955.24/4,077.98 = 1,696.27/x
  3. Step 3: Cross multiply
    2,955.24x = 4,077.98 × 1,696.27
  4. Step 4: Simplify right side
    2,955.24x = 6,917,342.82
  5. Step 5: Solve for x
    x = 6,917,342.82/2,955.24
  6. Step 6: Final answer
    x = 2,340.70

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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.