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Finding the Fourth Proportional to 2,832.70, 3,908.04 and 2,088.43

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Solution

The fourth proportional to 2,832.70, 3,908.04 and 2,088.43 is: 2,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.70 : 3,908.04 = 2,088.43 : x
  2. Step 2: Convert to fraction form
    2,832.70/3,908.04 = 2,088.43/x
  3. Step 3: Cross multiply
    2,832.70x = 3,908.04 × 2,088.43
  4. Step 4: Simplify right side
    2,832.70x = 8,161,662.76
  5. Step 5: Solve for x
    x = 8,161,662.76/2,832.70
  6. Step 6: Final answer
    x = 2,881.23

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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.