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Finding the Fourth Proportional to 2,682.90, 3,703.05 and 2,093.22

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Solution

The fourth proportional to 2,682.90, 3,703.05 and 2,093.22 is: 2,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.90 : 3,703.05 = 2,093.22 : x
  2. Step 2: Convert to fraction form
    2,682.90/3,703.05 = 2,093.22/x
  3. Step 3: Cross multiply
    2,682.90x = 3,703.05 × 2,093.22
  4. Step 4: Simplify right side
    2,682.90x = 7,751,298.32
  5. Step 5: Solve for x
    x = 7,751,298.32/2,682.90
  6. Step 6: Final answer
    x = 2,889.15

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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.