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Finding the Fourth Proportional to 2,696.92, 3,722.14 and 2,530.14

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Solution

The fourth proportional to 2,696.92, 3,722.14 and 2,530.14 is: 3,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.92 : 3,722.14 = 2,530.14 : x
  2. Step 2: Convert to fraction form
    2,696.92/3,722.14 = 2,530.14/x
  3. Step 3: Cross multiply
    2,696.92x = 3,722.14 × 2,530.14
  4. Step 4: Simplify right side
    2,696.92x = 9,417,535.30
  5. Step 5: Solve for x
    x = 9,417,535.30/2,696.92
  6. Step 6: Final answer
    x = 3,491.96

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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.