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Finding the Fourth Proportional to 2,463.39, 3,684.29 and 2,143.71

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Solution

The fourth proportional to 2,463.39, 3,684.29 and 2,143.71 is: 3,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.39 : 3,684.29 = 2,143.71 : x
  2. Step 2: Convert to fraction form
    2,463.39/3,684.29 = 2,143.71/x
  3. Step 3: Cross multiply
    2,463.39x = 3,684.29 × 2,143.71
  4. Step 4: Simplify right side
    2,463.39x = 7,898,038.60
  5. Step 5: Solve for x
    x = 7,898,038.60/2,463.39
  6. Step 6: Final answer
    x = 3,206.17

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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.