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Finding the Fourth Proportional to 3,311.04, 4,966.64 and 845.92

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Solution

The fourth proportional to 3,311.04, 4,966.64 and 845.92 is: 1,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.04 : 4,966.64 = 845.92 : x
  2. Step 2: Convert to fraction form
    3,311.04/4,966.64 = 845.92/x
  3. Step 3: Cross multiply
    3,311.04x = 4,966.64 × 845.92
  4. Step 4: Simplify right side
    3,311.04x = 4,201,380.11
  5. Step 5: Solve for x
    x = 4,201,380.11/3,311.04
  6. Step 6: Final answer
    x = 1,268.90

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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.