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Finding the Fourth Proportional to 2,043.66, 3,064.68 and 1,069.14

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Solution

The fourth proportional to 2,043.66, 3,064.68 and 1,069.14 is: 1,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.66 : 3,064.68 = 1,069.14 : x
  2. Step 2: Convert to fraction form
    2,043.66/3,064.68 = 1,069.14/x
  3. Step 3: Cross multiply
    2,043.66x = 3,064.68 × 1,069.14
  4. Step 4: Simplify right side
    2,043.66x = 3,276,571.98
  5. Step 5: Solve for x
    x = 3,276,571.98/2,043.66
  6. Step 6: Final answer
    x = 1,603.29

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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.