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Finding the Fourth Proportional to 1,909.37, 2,863.82 and 522.82

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Solution

The fourth proportional to 1,909.37, 2,863.82 and 522.82 is: 784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.37 : 2,863.82 = 522.82 : x
  2. Step 2: Convert to fraction form
    1,909.37/2,863.82 = 522.82/x
  3. Step 3: Cross multiply
    1,909.37x = 2,863.82 × 522.82
  4. Step 4: Simplify right side
    1,909.37x = 1,497,267.26
  5. Step 5: Solve for x
    x = 1,497,267.26/1,909.37
  6. Step 6: Final answer
    x = 784.17

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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.