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Finding the Fourth Proportional to 2,143.71, 3,207.06 and 1,350.32

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Solution

The fourth proportional to 2,143.71, 3,207.06 and 1,350.32 is: 2,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.71 : 3,207.06 = 1,350.32 : x
  2. Step 2: Convert to fraction form
    2,143.71/3,207.06 = 1,350.32/x
  3. Step 3: Cross multiply
    2,143.71x = 3,207.06 × 1,350.32
  4. Step 4: Simplify right side
    2,143.71x = 4,330,541.22
  5. Step 5: Solve for x
    x = 4,330,541.22/2,143.71
  6. Step 6: Final answer
    x = 2,020.12

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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.