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Finding the Fourth Proportional to 2,906.55, 4,009.01 and 2,463.66

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Solution

The fourth proportional to 2,906.55, 4,009.01 and 2,463.66 is: 3,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.55 : 4,009.01 = 2,463.66 : x
  2. Step 2: Convert to fraction form
    2,906.55/4,009.01 = 2,463.66/x
  3. Step 3: Cross multiply
    2,906.55x = 4,009.01 × 2,463.66
  4. Step 4: Simplify right side
    2,906.55x = 9,876,825.26
  5. Step 5: Solve for x
    x = 9,876,825.26/2,906.55
  6. Step 6: Final answer
    x = 3,398.13

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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.