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Finding the Fourth Proportional to 3,065.67, 4,231.16 and 1,739.35

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Solution

The fourth proportional to 3,065.67, 4,231.16 and 1,739.35 is: 2,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.67 : 4,231.16 = 1,739.35 : x
  2. Step 2: Convert to fraction form
    3,065.67/4,231.16 = 1,739.35/x
  3. Step 3: Cross multiply
    3,065.67x = 4,231.16 × 1,739.35
  4. Step 4: Simplify right side
    3,065.67x = 7,359,464.25
  5. Step 5: Solve for x
    x = 7,359,464.25/3,065.67
  6. Step 6: Final answer
    x = 2,400.60

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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.