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Finding the Fourth Proportional to 2,574.29, 3,861.61 and 930.85

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Solution

The fourth proportional to 2,574.29, 3,861.61 and 930.85 is: 1,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.29 : 3,861.61 = 930.85 : x
  2. Step 2: Convert to fraction form
    2,574.29/3,861.61 = 930.85/x
  3. Step 3: Cross multiply
    2,574.29x = 3,861.61 × 930.85
  4. Step 4: Simplify right side
    2,574.29x = 3,594,567.69
  5. Step 5: Solve for x
    x = 3,594,567.69/2,574.29
  6. Step 6: Final answer
    x = 1,396.33

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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.