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Finding the Fourth Proportional to 1,891.77, 2,838.17 and 1,347.42

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Solution

The fourth proportional to 1,891.77, 2,838.17 and 1,347.42 is: 2,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.77 : 2,838.17 = 1,347.42 : x
  2. Step 2: Convert to fraction form
    1,891.77/2,838.17 = 1,347.42/x
  3. Step 3: Cross multiply
    1,891.77x = 2,838.17 × 1,347.42
  4. Step 4: Simplify right side
    1,891.77x = 3,824,207.02
  5. Step 5: Solve for x
    x = 3,824,207.02/1,891.77
  6. Step 6: Final answer
    x = 2,021.50

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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.