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Finding the Fourth Proportional to 2,906.49, 4,360.11 and 931.49

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Solution

The fourth proportional to 2,906.49, 4,360.11 and 931.49 is: 1,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.49 : 4,360.11 = 931.49 : x
  2. Step 2: Convert to fraction form
    2,906.49/4,360.11 = 931.49/x
  3. Step 3: Cross multiply
    2,906.49x = 4,360.11 × 931.49
  4. Step 4: Simplify right side
    2,906.49x = 4,061,398.86
  5. Step 5: Solve for x
    x = 4,061,398.86/2,906.49
  6. Step 6: Final answer
    x = 1,397.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.