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Finding the Fourth Proportional to 2,077.97, 2,845.76 and 2,050.63

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Solution

The fourth proportional to 2,077.97, 2,845.76 and 2,050.63 is: 2,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.97 : 2,845.76 = 2,050.63 : x
  2. Step 2: Convert to fraction form
    2,077.97/2,845.76 = 2,050.63/x
  3. Step 3: Cross multiply
    2,077.97x = 2,845.76 × 2,050.63
  4. Step 4: Simplify right side
    2,077.97x = 5,835,583.46
  5. Step 5: Solve for x
    x = 5,835,583.46/2,077.97
  6. Step 6: Final answer
    x = 2,808.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.