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Finding the Fourth Proportional to 2,472, 3,411.36 and 1,644

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Solution

The fourth proportional to 2,472, 3,411.36 and 1,644 is: 2,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472 : 3,411.36 = 1,644 : x
  2. Step 2: Convert to fraction form
    2,472/3,411.36 = 1,644/x
  3. Step 3: Cross multiply
    2,472x = 3,411.36 × 1,644
  4. Step 4: Simplify right side
    2,472x = 5,608,275.84
  5. Step 5: Solve for x
    x = 5,608,275.84/2,472
  6. Step 6: Final answer
    x = 2,268.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.