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Finding the Fourth Proportional to 1,773.76, 2,644.24 and 1,745.68

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Solution

The fourth proportional to 1,773.76, 2,644.24 and 1,745.68 is: 2,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.76 : 2,644.24 = 1,745.68 : x
  2. Step 2: Convert to fraction form
    1,773.76/2,644.24 = 1,745.68/x
  3. Step 3: Cross multiply
    1,773.76x = 2,644.24 × 1,745.68
  4. Step 4: Simplify right side
    1,773.76x = 4,615,996.88
  5. Step 5: Solve for x
    x = 4,615,996.88/1,773.76
  6. Step 6: Final answer
    x = 2,602.38

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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.