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Finding the Fourth Proportional to 3,050.46, 4,209.58 and 1,724.14

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Solution

The fourth proportional to 3,050.46, 4,209.58 and 1,724.14 is: 2,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.46 : 4,209.58 = 1,724.14 : x
  2. Step 2: Convert to fraction form
    3,050.46/4,209.58 = 1,724.14/x
  3. Step 3: Cross multiply
    3,050.46x = 4,209.58 × 1,724.14
  4. Step 4: Simplify right side
    3,050.46x = 7,257,879.90
  5. Step 5: Solve for x
    x = 7,257,879.90/3,050.46
  6. Step 6: Final answer
    x = 2,379.28

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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.