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Finding the Fourth Proportional to 3,131.46, 4,696.92 and 910.44

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Solution

The fourth proportional to 3,131.46, 4,696.92 and 910.44 is: 1,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.46 : 4,696.92 = 910.44 : x
  2. Step 2: Convert to fraction form
    3,131.46/4,696.92 = 910.44/x
  3. Step 3: Cross multiply
    3,131.46x = 4,696.92 × 910.44
  4. Step 4: Simplify right side
    3,131.46x = 4,276,263.84
  5. Step 5: Solve for x
    x = 4,276,263.84/3,131.46
  6. Step 6: Final answer
    x = 1,365.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.