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Finding the Fourth Proportional to 1,606.86, 2,217.47 and 908.24

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Solution

The fourth proportional to 1,606.86, 2,217.47 and 908.24 is: 1,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.86 : 2,217.47 = 908.24 : x
  2. Step 2: Convert to fraction form
    1,606.86/2,217.47 = 908.24/x
  3. Step 3: Cross multiply
    1,606.86x = 2,217.47 × 908.24
  4. Step 4: Simplify right side
    1,606.86x = 2,013,979.32
  5. Step 5: Solve for x
    x = 2,013,979.32/1,606.86
  6. Step 6: Final answer
    x = 1,253.36

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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.