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Finding the Fourth Proportional to 3,069.16, 4,235.29 and 1,742.69

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Solution

The fourth proportional to 3,069.16, 4,235.29 and 1,742.69 is: 2,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.16 : 4,235.29 = 1,742.69 : x
  2. Step 2: Convert to fraction form
    3,069.16/4,235.29 = 1,742.69/x
  3. Step 3: Cross multiply
    3,069.16x = 4,235.29 × 1,742.69
  4. Step 4: Simplify right side
    3,069.16x = 7,380,797.53
  5. Step 5: Solve for x
    x = 7,380,797.53/3,069.16
  6. Step 6: Final answer
    x = 2,404.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.