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Finding the Fourth Proportional to 1,773.84, 2,447.91 and 1,027.85

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Solution

The fourth proportional to 1,773.84, 2,447.91 and 1,027.85 is: 1,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.84 : 2,447.91 = 1,027.85 : x
  2. Step 2: Convert to fraction form
    1,773.84/2,447.91 = 1,027.85/x
  3. Step 3: Cross multiply
    1,773.84x = 2,447.91 × 1,027.85
  4. Step 4: Simplify right side
    1,773.84x = 2,516,068.20
  5. Step 5: Solve for x
    x = 2,516,068.20/1,773.84
  6. Step 6: Final answer
    x = 1,418.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.