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Finding the Fourth Proportional to 1,892.81, 2,612.09 and 1,064.81

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Solution

The fourth proportional to 1,892.81, 2,612.09 and 1,064.81 is: 1,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.81 : 2,612.09 = 1,064.81 : x
  2. Step 2: Convert to fraction form
    1,892.81/2,612.09 = 1,064.81/x
  3. Step 3: Cross multiply
    1,892.81x = 2,612.09 × 1,064.81
  4. Step 4: Simplify right side
    1,892.81x = 2,781,388.75
  5. Step 5: Solve for x
    x = 2,781,388.75/1,892.81
  6. Step 6: Final answer
    x = 1,469.45

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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.