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Finding the Fourth Proportional to 2,654.70, 3,964.68 and 2,260.50

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Solution

The fourth proportional to 2,654.70, 3,964.68 and 2,260.50 is: 3,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.70 : 3,964.68 = 2,260.50 : x
  2. Step 2: Convert to fraction form
    2,654.70/3,964.68 = 2,260.50/x
  3. Step 3: Cross multiply
    2,654.70x = 3,964.68 × 2,260.50
  4. Step 4: Simplify right side
    2,654.70x = 8,962,159.14
  5. Step 5: Solve for x
    x = 8,962,159.14/2,654.70
  6. Step 6: Final answer
    x = 3,375.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.