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Finding the Fourth Proportional to 1,909.52, 2,863.74 and 522.91

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Solution

The fourth proportional to 1,909.52, 2,863.74 and 522.91 is: 784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.52 : 2,863.74 = 522.91 : x
  2. Step 2: Convert to fraction form
    1,909.52/2,863.74 = 522.91/x
  3. Step 3: Cross multiply
    1,909.52x = 2,863.74 × 522.91
  4. Step 4: Simplify right side
    1,909.52x = 1,497,463.67
  5. Step 5: Solve for x
    x = 1,497,463.67/1,909.52
  6. Step 6: Final answer
    x = 784.21

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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.