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Finding the Fourth Proportional to 2,468.43, 3,695.81 and 1,972.47

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Solution

The fourth proportional to 2,468.43, 3,695.81 and 1,972.47 is: 2,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.43 : 3,695.81 = 1,972.47 : x
  2. Step 2: Convert to fraction form
    2,468.43/3,695.81 = 1,972.47/x
  3. Step 3: Cross multiply
    2,468.43x = 3,695.81 × 1,972.47
  4. Step 4: Simplify right side
    2,468.43x = 7,289,864.49
  5. Step 5: Solve for x
    x = 7,289,864.49/2,468.43
  6. Step 6: Final answer
    x = 2,953.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.