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Finding the Fourth Proportional to 1,952.43, 2,928.63 and 653.89

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Solution

The fourth proportional to 1,952.43, 2,928.63 and 653.89 is: 980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.43 : 2,928.63 = 653.89 : x
  2. Step 2: Convert to fraction form
    1,952.43/2,928.63 = 653.89/x
  3. Step 3: Cross multiply
    1,952.43x = 2,928.63 × 653.89
  4. Step 4: Simplify right side
    1,952.43x = 1,915,001.87
  5. Step 5: Solve for x
    x = 1,915,001.87/1,952.43
  6. Step 6: Final answer
    x = 980.83

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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.