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Finding the Fourth Proportional to 3,065.14, 4,228.00 and 1,738.56

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Solution

The fourth proportional to 3,065.14, 4,228.00 and 1,738.56 is: 2,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.14 : 4,228.00 = 1,738.56 : x
  2. Step 2: Convert to fraction form
    3,065.14/4,228.00 = 1,738.56/x
  3. Step 3: Cross multiply
    3,065.14x = 4,228.00 × 1,738.56
  4. Step 4: Simplify right side
    3,065.14x = 7,350,643.19
  5. Step 5: Solve for x
    x = 7,350,643.19/3,065.14
  6. Step 6: Final answer
    x = 2,398.14

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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.