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Finding the Fourth Proportional to 3,478.16, 4,799.76 and 1,906.22

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Solution

The fourth proportional to 3,478.16, 4,799.76 and 1,906.22 is: 2,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.16 : 4,799.76 = 1,906.22 : x
  2. Step 2: Convert to fraction form
    3,478.16/4,799.76 = 1,906.22/x
  3. Step 3: Cross multiply
    3,478.16x = 4,799.76 × 1,906.22
  4. Step 4: Simplify right side
    3,478.16x = 9,149,398.51
  5. Step 5: Solve for x
    x = 9,149,398.51/3,478.16
  6. Step 6: Final answer
    x = 2,630.53

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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.