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Finding the Fourth Proportional to 1,891.71, 2,838.35 and 836.98

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Solution

The fourth proportional to 1,891.71, 2,838.35 and 836.98 is: 1,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.71 : 2,838.35 = 836.98 : x
  2. Step 2: Convert to fraction form
    1,891.71/2,838.35 = 836.98/x
  3. Step 3: Cross multiply
    1,891.71x = 2,838.35 × 836.98
  4. Step 4: Simplify right side
    1,891.71x = 2,375,637.18
  5. Step 5: Solve for x
    x = 2,375,637.18/1,891.71
  6. Step 6: Final answer
    x = 1,255.81

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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.