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Finding the Fourth Proportional to 2,551.56, 3,827.58 and 908.28

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Solution

The fourth proportional to 2,551.56, 3,827.58 and 908.28 is: 1,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.56 : 3,827.58 = 908.28 : x
  2. Step 2: Convert to fraction form
    2,551.56/3,827.58 = 908.28/x
  3. Step 3: Cross multiply
    2,551.56x = 3,827.58 × 908.28
  4. Step 4: Simplify right side
    2,551.56x = 3,476,514.36
  5. Step 5: Solve for x
    x = 3,476,514.36/2,551.56
  6. Step 6: Final answer
    x = 1,362.51

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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.