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Finding the Fourth Proportional to 2,353.85, 3,531.10 and 794.30

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Solution

The fourth proportional to 2,353.85, 3,531.10 and 794.30 is: 1,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.85 : 3,531.10 = 794.30 : x
  2. Step 2: Convert to fraction form
    2,353.85/3,531.10 = 794.30/x
  3. Step 3: Cross multiply
    2,353.85x = 3,531.10 × 794.30
  4. Step 4: Simplify right side
    2,353.85x = 2,804,752.73
  5. Step 5: Solve for x
    x = 2,804,752.73/2,353.85
  6. Step 6: Final answer
    x = 1,191.56

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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.