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Finding the Fourth Proportional to 2,892.62, 3,991.82 and 1,566.32

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Solution

The fourth proportional to 2,892.62, 3,991.82 and 1,566.32 is: 2,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.62 : 3,991.82 = 1,566.32 : x
  2. Step 2: Convert to fraction form
    2,892.62/3,991.82 = 1,566.32/x
  3. Step 3: Cross multiply
    2,892.62x = 3,991.82 × 1,566.32
  4. Step 4: Simplify right side
    2,892.62x = 6,252,439.71
  5. Step 5: Solve for x
    x = 6,252,439.71/2,892.62
  6. Step 6: Final answer
    x = 2,161.51

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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.