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Finding the Fourth Proportional to 2,263.16, 3,394.56 and 964.64

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Solution

The fourth proportional to 2,263.16, 3,394.56 and 964.64 is: 1,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.16 : 3,394.56 = 964.64 : x
  2. Step 2: Convert to fraction form
    2,263.16/3,394.56 = 964.64/x
  3. Step 3: Cross multiply
    2,263.16x = 3,394.56 × 964.64
  4. Step 4: Simplify right side
    2,263.16x = 3,274,528.36
  5. Step 5: Solve for x
    x = 3,274,528.36/2,263.16
  6. Step 6: Final answer
    x = 1,446.88

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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.