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Finding the Fourth Proportional to 3,064.37, 4,228.88 and 1,738.10

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Solution

The fourth proportional to 3,064.37, 4,228.88 and 1,738.10 is: 2,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.37 : 4,228.88 = 1,738.10 : x
  2. Step 2: Convert to fraction form
    3,064.37/4,228.88 = 1,738.10/x
  3. Step 3: Cross multiply
    3,064.37x = 4,228.88 × 1,738.10
  4. Step 4: Simplify right side
    3,064.37x = 7,350,218.21
  5. Step 5: Solve for x
    x = 7,350,218.21/3,064.37
  6. Step 6: Final answer
    x = 2,398.61

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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.