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Finding the Fourth Proportional to 2,352.14, 3,528.46 and 792.32

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Solution

The fourth proportional to 2,352.14, 3,528.46 and 792.32 is: 1,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.14 : 3,528.46 = 792.32 : x
  2. Step 2: Convert to fraction form
    2,352.14/3,528.46 = 792.32/x
  3. Step 3: Cross multiply
    2,352.14x = 3,528.46 × 792.32
  4. Step 4: Simplify right side
    2,352.14x = 2,795,669.43
  5. Step 5: Solve for x
    x = 2,795,669.43/2,352.14
  6. Step 6: Final answer
    x = 1,188.56

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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.