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Finding the Fourth Proportional to 2,043.77, 3,065.65 and 1,069.63

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Solution

The fourth proportional to 2,043.77, 3,065.65 and 1,069.63 is: 1,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.77 : 3,065.65 = 1,069.63 : x
  2. Step 2: Convert to fraction form
    2,043.77/3,065.65 = 1,069.63/x
  3. Step 3: Cross multiply
    2,043.77x = 3,065.65 × 1,069.63
  4. Step 4: Simplify right side
    2,043.77x = 3,279,100.87
  5. Step 5: Solve for x
    x = 3,279,100.87/2,043.77
  6. Step 6: Final answer
    x = 1,604.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.