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Finding the Fourth Proportional to 1,789.42, 2,684.10 and 557.38

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Solution

The fourth proportional to 1,789.42, 2,684.10 and 557.38 is: 836.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.42 : 2,684.10 = 557.38 : x
  2. Step 2: Convert to fraction form
    1,789.42/2,684.10 = 557.38/x
  3. Step 3: Cross multiply
    1,789.42x = 2,684.10 × 557.38
  4. Step 4: Simplify right side
    1,789.42x = 1,496,063.66
  5. Step 5: Solve for x
    x = 1,496,063.66/1,789.42
  6. Step 6: Final answer
    x = 836.06

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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.