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Finding the Fourth Proportional to 2,549.22, 3,824.28 and 906.72

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Solution

The fourth proportional to 2,549.22, 3,824.28 and 906.72 is: 1,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.22 : 3,824.28 = 906.72 : x
  2. Step 2: Convert to fraction form
    2,549.22/3,824.28 = 906.72/x
  3. Step 3: Cross multiply
    2,549.22x = 3,824.28 × 906.72
  4. Step 4: Simplify right side
    2,549.22x = 3,467,551.16
  5. Step 5: Solve for x
    x = 3,467,551.16/2,549.22
  6. Step 6: Final answer
    x = 1,360.24

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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.