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Finding the Fourth Proportional to 2,039.72, 2,817.38 and 1,773.63

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Solution

The fourth proportional to 2,039.72, 2,817.38 and 1,773.63 is: 2,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.72 : 2,817.38 = 1,773.63 : x
  2. Step 2: Convert to fraction form
    2,039.72/2,817.38 = 1,773.63/x
  3. Step 3: Cross multiply
    2,039.72x = 2,817.38 × 1,773.63
  4. Step 4: Simplify right side
    2,039.72x = 4,996,994.12
  5. Step 5: Solve for x
    x = 4,996,994.12/2,039.72
  6. Step 6: Final answer
    x = 2,449.85

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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.