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Finding the Fourth Proportional to 2,314.82, 3,189.81 and 1,964.90

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Solution

The fourth proportional to 2,314.82, 3,189.81 and 1,964.90 is: 2,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.82 : 3,189.81 = 1,964.90 : x
  2. Step 2: Convert to fraction form
    2,314.82/3,189.81 = 1,964.90/x
  3. Step 3: Cross multiply
    2,314.82x = 3,189.81 × 1,964.90
  4. Step 4: Simplify right side
    2,314.82x = 6,267,657.67
  5. Step 5: Solve for x
    x = 6,267,657.67/2,314.82
  6. Step 6: Final answer
    x = 2,707.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.