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Finding the Fourth Proportional to 2,149.83, 2,968.18 and 1,651.57

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Solution

The fourth proportional to 2,149.83, 2,968.18 and 1,651.57 is: 2,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.83 : 2,968.18 = 1,651.57 : x
  2. Step 2: Convert to fraction form
    2,149.83/2,968.18 = 1,651.57/x
  3. Step 3: Cross multiply
    2,149.83x = 2,968.18 × 1,651.57
  4. Step 4: Simplify right side
    2,149.83x = 4,902,145.49
  5. Step 5: Solve for x
    x = 4,902,145.49/2,149.83
  6. Step 6: Final answer
    x = 2,280.25

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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.