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Finding the Fourth Proportional to 2,102.46, 3,154.15 and 641.57

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Solution

The fourth proportional to 2,102.46, 3,154.15 and 641.57 is: 962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.46 : 3,154.15 = 641.57 : x
  2. Step 2: Convert to fraction form
    2,102.46/3,154.15 = 641.57/x
  3. Step 3: Cross multiply
    2,102.46x = 3,154.15 × 641.57
  4. Step 4: Simplify right side
    2,102.46x = 2,023,608.02
  5. Step 5: Solve for x
    x = 2,023,608.02/2,102.46
  6. Step 6: Final answer
    x = 962.50

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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.