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Finding the Fourth Proportional to 2,906.63, 4,008.43 and 2,242.43

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Solution

The fourth proportional to 2,906.63, 4,008.43 and 2,242.43 is: 3,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.63 : 4,008.43 = 2,242.43 : x
  2. Step 2: Convert to fraction form
    2,906.63/4,008.43 = 2,242.43/x
  3. Step 3: Cross multiply
    2,906.63x = 4,008.43 × 2,242.43
  4. Step 4: Simplify right side
    2,906.63x = 8,988,598.04
  5. Step 5: Solve for x
    x = 8,988,598.04/2,906.63
  6. Step 6: Final answer
    x = 3,092.45

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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.