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Finding the Fourth Proportional to 1,789.29, 2,663.89 and 1,780.63

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Solution

The fourth proportional to 1,789.29, 2,663.89 and 1,780.63 is: 2,650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.29 : 2,663.89 = 1,780.63 : x
  2. Step 2: Convert to fraction form
    1,789.29/2,663.89 = 1,780.63/x
  3. Step 3: Cross multiply
    1,789.29x = 2,663.89 × 1,780.63
  4. Step 4: Simplify right side
    1,789.29x = 4,743,391.34
  5. Step 5: Solve for x
    x = 4,743,391.34/1,789.29
  6. Step 6: Final answer
    x = 2,650.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.