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Finding the Fourth Proportional to 2,892.44, 3,991.06 and 1,713.08

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Solution

The fourth proportional to 2,892.44, 3,991.06 and 1,713.08 is: 2,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.44 : 3,991.06 = 1,713.08 : x
  2. Step 2: Convert to fraction form
    2,892.44/3,991.06 = 1,713.08/x
  3. Step 3: Cross multiply
    2,892.44x = 3,991.06 × 1,713.08
  4. Step 4: Simplify right side
    2,892.44x = 6,837,005.06
  5. Step 5: Solve for x
    x = 6,837,005.06/2,892.44
  6. Step 6: Final answer
    x = 2,363.75

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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.