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Finding the Fourth Proportional to 3,065.70, 4,231.20 and 1,739.14

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Solution

The fourth proportional to 3,065.70, 4,231.20 and 1,739.14 is: 2,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.70 : 4,231.20 = 1,739.14 : x
  2. Step 2: Convert to fraction form
    3,065.70/4,231.20 = 1,739.14/x
  3. Step 3: Cross multiply
    3,065.70x = 4,231.20 × 1,739.14
  4. Step 4: Simplify right side
    3,065.70x = 7,358,649.17
  5. Step 5: Solve for x
    x = 7,358,649.17/3,065.70
  6. Step 6: Final answer
    x = 2,400.32

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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.