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Finding the Fourth Proportional to 2,763.77, 3,811.34 and 2,099.48

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Solution

The fourth proportional to 2,763.77, 3,811.34 and 2,099.48 is: 2,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.77 : 3,811.34 = 2,099.48 : x
  2. Step 2: Convert to fraction form
    2,763.77/3,811.34 = 2,099.48/x
  3. Step 3: Cross multiply
    2,763.77x = 3,811.34 × 2,099.48
  4. Step 4: Simplify right side
    2,763.77x = 8,001,818.30
  5. Step 5: Solve for x
    x = 8,001,818.30/2,763.77
  6. Step 6: Final answer
    x = 2,895.26

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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.