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Finding the Fourth Proportional to 1,956.25, 2,934.64 and 658.09

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Solution

The fourth proportional to 1,956.25, 2,934.64 and 658.09 is: 987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.25 : 2,934.64 = 658.09 : x
  2. Step 2: Convert to fraction form
    1,956.25/2,934.64 = 658.09/x
  3. Step 3: Cross multiply
    1,956.25x = 2,934.64 × 658.09
  4. Step 4: Simplify right side
    1,956.25x = 1,931,257.24
  5. Step 5: Solve for x
    x = 1,931,257.24/1,956.25
  6. Step 6: Final answer
    x = 987.22

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1.5x scale

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.