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Finding the Fourth Proportional to 1,894.75, 2,841.09 and 1,018.29

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Solution

The fourth proportional to 1,894.75, 2,841.09 and 1,018.29 is: 1,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.75 : 2,841.09 = 1,018.29 : x
  2. Step 2: Convert to fraction form
    1,894.75/2,841.09 = 1,018.29/x
  3. Step 3: Cross multiply
    1,894.75x = 2,841.09 × 1,018.29
  4. Step 4: Simplify right side
    1,894.75x = 2,893,053.54
  5. Step 5: Solve for x
    x = 2,893,053.54/1,894.75
  6. Step 6: Final answer
    x = 1,526.88

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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.