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Finding the Fourth Proportional to 1,952.46, 2,928.09 and 964.65

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Solution

The fourth proportional to 1,952.46, 2,928.09 and 964.65 is: 1,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.46 : 2,928.09 = 964.65 : x
  2. Step 2: Convert to fraction form
    1,952.46/2,928.09 = 964.65/x
  3. Step 3: Cross multiply
    1,952.46x = 2,928.09 × 964.65
  4. Step 4: Simplify right side
    1,952.46x = 2,824,582.02
  5. Step 5: Solve for x
    x = 2,824,582.02/1,952.46
  6. Step 6: Final answer
    x = 1,446.68

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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.