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Finding the Fourth Proportional to 2,169.84, 2,995.26 and 1,471.62

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Solution

The fourth proportional to 2,169.84, 2,995.26 and 1,471.62 is: 2,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.84 : 2,995.26 = 1,471.62 : x
  2. Step 2: Convert to fraction form
    2,169.84/2,995.26 = 1,471.62/x
  3. Step 3: Cross multiply
    2,169.84x = 2,995.26 × 1,471.62
  4. Step 4: Simplify right side
    2,169.84x = 4,407,884.52
  5. Step 5: Solve for x
    x = 4,407,884.52/2,169.84
  6. Step 6: Final answer
    x = 2,031.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.