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Finding the Fourth Proportional to 1,892.59, 2,838.56 and 576.03

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Solution

The fourth proportional to 1,892.59, 2,838.56 and 576.03 is: 863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.59 : 2,838.56 = 576.03 : x
  2. Step 2: Convert to fraction form
    1,892.59/2,838.56 = 576.03/x
  3. Step 3: Cross multiply
    1,892.59x = 2,838.56 × 576.03
  4. Step 4: Simplify right side
    1,892.59x = 1,635,087.51
  5. Step 5: Solve for x
    x = 1,635,087.51/1,892.59
  6. Step 6: Final answer
    x = 863.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.