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Finding the Fourth Proportional to 2,172.92, 2,998.06 and 1,288.92

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Solution

The fourth proportional to 2,172.92, 2,998.06 and 1,288.92 is: 1,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.92 : 2,998.06 = 1,288.92 : x
  2. Step 2: Convert to fraction form
    2,172.92/2,998.06 = 1,288.92/x
  3. Step 3: Cross multiply
    2,172.92x = 2,998.06 × 1,288.92
  4. Step 4: Simplify right side
    2,172.92x = 3,864,259.50
  5. Step 5: Solve for x
    x = 3,864,259.50/2,172.92
  6. Step 6: Final answer
    x = 1,778.37

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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.