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Finding the Fourth Proportional to 3,089.94, 4,644.63 and 2,684.13

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Solution

The fourth proportional to 3,089.94, 4,644.63 and 2,684.13 is: 4,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.94 : 4,644.63 = 2,684.13 : x
  2. Step 2: Convert to fraction form
    3,089.94/4,644.63 = 2,684.13/x
  3. Step 3: Cross multiply
    3,089.94x = 4,644.63 × 2,684.13
  4. Step 4: Simplify right side
    3,089.94x = 12,466,790.72
  5. Step 5: Solve for x
    x = 12,466,790.72/3,089.94
  6. Step 6: Final answer
    x = 4,034.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.