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Finding the Fourth Proportional to 3,149.06, 4,346.14 and 1,823.18

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Solution

The fourth proportional to 3,149.06, 4,346.14 and 1,823.18 is: 2,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.06 : 4,346.14 = 1,823.18 : x
  2. Step 2: Convert to fraction form
    3,149.06/4,346.14 = 1,823.18/x
  3. Step 3: Cross multiply
    3,149.06x = 4,346.14 × 1,823.18
  4. Step 4: Simplify right side
    3,149.06x = 7,923,795.53
  5. Step 5: Solve for x
    x = 7,923,795.53/3,149.06
  6. Step 6: Final answer
    x = 2,516.24

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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.