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Finding the Fourth Proportional to 2,696.50, 3,712.26 and 2,347.12

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Solution

The fourth proportional to 2,696.50, 3,712.26 and 2,347.12 is: 3,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.50 : 3,712.26 = 2,347.12 : x
  2. Step 2: Convert to fraction form
    2,696.50/3,712.26 = 2,347.12/x
  3. Step 3: Cross multiply
    2,696.50x = 3,712.26 × 2,347.12
  4. Step 4: Simplify right side
    2,696.50x = 8,713,119.69
  5. Step 5: Solve for x
    x = 8,713,119.69/2,696.50
  6. Step 6: Final answer
    x = 3,231.27

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1.5x scale

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.