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Finding the Fourth Proportional to 2,367.12, 3,548.34 and 885.26

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Solution

The fourth proportional to 2,367.12, 3,548.34 and 885.26 is: 1,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.12 : 3,548.34 = 885.26 : x
  2. Step 2: Convert to fraction form
    2,367.12/3,548.34 = 885.26/x
  3. Step 3: Cross multiply
    2,367.12x = 3,548.34 × 885.26
  4. Step 4: Simplify right side
    2,367.12x = 3,141,185.73
  5. Step 5: Solve for x
    x = 3,141,185.73/2,367.12
  6. Step 6: Final answer
    x = 1,327.01

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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.