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Finding the Fourth Proportional to 1,894.57, 2,841.86 and 783.97

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Solution

The fourth proportional to 1,894.57, 2,841.86 and 783.97 is: 1,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.57 : 2,841.86 = 783.97 : x
  2. Step 2: Convert to fraction form
    1,894.57/2,841.86 = 783.97/x
  3. Step 3: Cross multiply
    1,894.57x = 2,841.86 × 783.97
  4. Step 4: Simplify right side
    1,894.57x = 2,227,932.98
  5. Step 5: Solve for x
    x = 2,227,932.98/1,894.57
  6. Step 6: Final answer
    x = 1,175.96

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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.