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Finding the Fourth Proportional to 2,861.11, 3,945.85 and 1,866.03

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Solution

The fourth proportional to 2,861.11, 3,945.85 and 1,866.03 is: 2,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.11 : 3,945.85 = 1,866.03 : x
  2. Step 2: Convert to fraction form
    2,861.11/3,945.85 = 1,866.03/x
  3. Step 3: Cross multiply
    2,861.11x = 3,945.85 × 1,866.03
  4. Step 4: Simplify right side
    2,861.11x = 7,363,074.48
  5. Step 5: Solve for x
    x = 7,363,074.48/2,861.11
  6. Step 6: Final answer
    x = 2,573.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.