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Finding the Fourth Proportional to 2,262.58, 3,394.05 and 964.06

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Solution

The fourth proportional to 2,262.58, 3,394.05 and 964.06 is: 1,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.58 : 3,394.05 = 964.06 : x
  2. Step 2: Convert to fraction form
    2,262.58/3,394.05 = 964.06/x
  3. Step 3: Cross multiply
    2,262.58x = 3,394.05 × 964.06
  4. Step 4: Simplify right side
    2,262.58x = 3,272,067.84
  5. Step 5: Solve for x
    x = 3,272,067.84/2,262.58
  6. Step 6: Final answer
    x = 1,446.17

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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.