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Finding the Fourth Proportional to 1,906.92, 2,633.40 and 1,803.42

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Solution

The fourth proportional to 1,906.92, 2,633.40 and 1,803.42 is: 2,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.92 : 2,633.40 = 1,803.42 : x
  2. Step 2: Convert to fraction form
    1,906.92/2,633.40 = 1,803.42/x
  3. Step 3: Cross multiply
    1,906.92x = 2,633.40 × 1,803.42
  4. Step 4: Simplify right side
    1,906.92x = 4,749,126.23
  5. Step 5: Solve for x
    x = 4,749,126.23/1,906.92
  6. Step 6: Final answer
    x = 2,490.47

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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.