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Finding the Fourth Proportional to 2,152.62, 3,230.54 and 836.58

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Solution

The fourth proportional to 2,152.62, 3,230.54 and 836.58 is: 1,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.62 : 3,230.54 = 836.58 : x
  2. Step 2: Convert to fraction form
    2,152.62/3,230.54 = 836.58/x
  3. Step 3: Cross multiply
    2,152.62x = 3,230.54 × 836.58
  4. Step 4: Simplify right side
    2,152.62x = 2,702,600.97
  5. Step 5: Solve for x
    x = 2,702,600.97/2,152.62
  6. Step 6: Final answer
    x = 1,255.49

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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.