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Finding the Fourth Proportional to 2,631.20, 3,946.82 and 656.82

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Solution

The fourth proportional to 2,631.20, 3,946.82 and 656.82 is: 985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.20 : 3,946.82 = 656.82 : x
  2. Step 2: Convert to fraction form
    2,631.20/3,946.82 = 656.82/x
  3. Step 3: Cross multiply
    2,631.20x = 3,946.82 × 656.82
  4. Step 4: Simplify right side
    2,631.20x = 2,592,347.03
  5. Step 5: Solve for x
    x = 2,592,347.03/2,631.20
  6. Step 6: Final answer
    x = 985.24

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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.