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Finding the Fourth Proportional to 1,911.72, 2,864.62 and 1,293.24

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Solution

The fourth proportional to 1,911.72, 2,864.62 and 1,293.24 is: 1,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.72 : 2,864.62 = 1,293.24 : x
  2. Step 2: Convert to fraction form
    1,911.72/2,864.62 = 1,293.24/x
  3. Step 3: Cross multiply
    1,911.72x = 2,864.62 × 1,293.24
  4. Step 4: Simplify right side
    1,911.72x = 3,704,641.17
  5. Step 5: Solve for x
    x = 3,704,641.17/1,911.72
  6. Step 6: Final answer
    x = 1,937.86

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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.