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Finding the Fourth Proportional to 3,065.25, 4,230.08 and 1,739.05

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Solution

The fourth proportional to 3,065.25, 4,230.08 and 1,739.05 is: 2,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.25 : 4,230.08 = 1,739.05 : x
  2. Step 2: Convert to fraction form
    3,065.25/4,230.08 = 1,739.05/x
  3. Step 3: Cross multiply
    3,065.25x = 4,230.08 × 1,739.05
  4. Step 4: Simplify right side
    3,065.25x = 7,356,320.62
  5. Step 5: Solve for x
    x = 7,356,320.62/3,065.25
  6. Step 6: Final answer
    x = 2,399.91

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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.