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Finding the Fourth Proportional to 3,232.83, 4,849.35 and 892.88

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Solution

The fourth proportional to 3,232.83, 4,849.35 and 892.88 is: 1,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.83 : 4,849.35 = 892.88 : x
  2. Step 2: Convert to fraction form
    3,232.83/4,849.35 = 892.88/x
  3. Step 3: Cross multiply
    3,232.83x = 4,849.35 × 892.88
  4. Step 4: Simplify right side
    3,232.83x = 4,329,858.92
  5. Step 5: Solve for x
    x = 4,329,858.92/3,232.83
  6. Step 6: Final answer
    x = 1,339.34

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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.