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Finding the Fourth Proportional to 2,093.68, 2,882.68 and 1,778.32

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Solution

The fourth proportional to 2,093.68, 2,882.68 and 1,778.32 is: 2,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.68 : 2,882.68 = 1,778.32 : x
  2. Step 2: Convert to fraction form
    2,093.68/2,882.68 = 1,778.32/x
  3. Step 3: Cross multiply
    2,093.68x = 2,882.68 × 1,778.32
  4. Step 4: Simplify right side
    2,093.68x = 5,126,327.50
  5. Step 5: Solve for x
    x = 5,126,327.50/2,093.68
  6. Step 6: Final answer
    x = 2,448.48

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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.