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Finding the Fourth Proportional to 2,293.72, 3,434.34 and 2,143.96

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Solution

The fourth proportional to 2,293.72, 3,434.34 and 2,143.96 is: 3,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.72 : 3,434.34 = 2,143.96 : x
  2. Step 2: Convert to fraction form
    2,293.72/3,434.34 = 2,143.96/x
  3. Step 3: Cross multiply
    2,293.72x = 3,434.34 × 2,143.96
  4. Step 4: Simplify right side
    2,293.72x = 7,363,087.59
  5. Step 5: Solve for x
    x = 7,363,087.59/2,293.72
  6. Step 6: Final answer
    x = 3,210.11

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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.