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Finding the Fourth Proportional to 2,298.92, 3,447.73 and 912.23

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Solution

The fourth proportional to 2,298.92, 3,447.73 and 912.23 is: 1,368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.92 : 3,447.73 = 912.23 : x
  2. Step 2: Convert to fraction form
    2,298.92/3,447.73 = 912.23/x
  3. Step 3: Cross multiply
    2,298.92x = 3,447.73 × 912.23
  4. Step 4: Simplify right side
    2,298.92x = 3,145,119.57
  5. Step 5: Solve for x
    x = 3,145,119.57/2,298.92
  6. Step 6: Final answer
    x = 1,368.09

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1.5x scale

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.