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Finding the Fourth Proportional to 2,352.92, 3,529.55 and 792.91

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Solution

The fourth proportional to 2,352.92, 3,529.55 and 792.91 is: 1,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.92 : 3,529.55 = 792.91 : x
  2. Step 2: Convert to fraction form
    2,352.92/3,529.55 = 792.91/x
  3. Step 3: Cross multiply
    2,352.92x = 3,529.55 × 792.91
  4. Step 4: Simplify right side
    2,352.92x = 2,798,611.53
  5. Step 5: Solve for x
    x = 2,798,611.53/2,352.92
  6. Step 6: Final answer
    x = 1,189.42

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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.