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Finding the Fourth Proportional to 1,606.92, 2,217.62 and 908.28

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Solution

The fourth proportional to 1,606.92, 2,217.62 and 908.28 is: 1,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.92 : 2,217.62 = 908.28 : x
  2. Step 2: Convert to fraction form
    1,606.92/2,217.62 = 908.28/x
  3. Step 3: Cross multiply
    1,606.92x = 2,217.62 × 908.28
  4. Step 4: Simplify right side
    1,606.92x = 2,014,219.89
  5. Step 5: Solve for x
    x = 2,014,219.89/1,606.92
  6. Step 6: Final answer
    x = 1,253.47

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Double scale
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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.