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Finding the Fourth Proportional to 2,405.75, 3,584.70 and 2,143.74

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Solution

The fourth proportional to 2,405.75, 3,584.70 and 2,143.74 is: 3,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.75 : 3,584.70 = 2,143.74 : x
  2. Step 2: Convert to fraction form
    2,405.75/3,584.70 = 2,143.74/x
  3. Step 3: Cross multiply
    2,405.75x = 3,584.70 × 2,143.74
  4. Step 4: Simplify right side
    2,405.75x = 7,684,664.78
  5. Step 5: Solve for x
    x = 7,684,664.78/2,405.75
  6. Step 6: Final answer
    x = 3,194.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.