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Finding the Fourth Proportional to 1,773.68, 2,448.21 and 1,027.82

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Solution

The fourth proportional to 1,773.68, 2,448.21 and 1,027.82 is: 1,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.68 : 2,448.21 = 1,027.82 : x
  2. Step 2: Convert to fraction form
    1,773.68/2,448.21 = 1,027.82/x
  3. Step 3: Cross multiply
    1,773.68x = 2,448.21 × 1,027.82
  4. Step 4: Simplify right side
    1,773.68x = 2,516,319.20
  5. Step 5: Solve for x
    x = 2,516,319.20/1,773.68
  6. Step 6: Final answer
    x = 1,418.70

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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.