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Finding the Fourth Proportional to 2,102.04, 3,152.92 and 641.20

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Solution

The fourth proportional to 2,102.04, 3,152.92 and 641.20 is: 961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.04 : 3,152.92 = 641.20 : x
  2. Step 2: Convert to fraction form
    2,102.04/3,152.92 = 641.20/x
  3. Step 3: Cross multiply
    2,102.04x = 3,152.92 × 641.20
  4. Step 4: Simplify right side
    2,102.04x = 2,021,652.30
  5. Step 5: Solve for x
    x = 2,021,652.30/2,102.04
  6. Step 6: Final answer
    x = 961.76

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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.