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Finding the Fourth Proportional to 2,064.66, 3,092.13 and 1,628.88

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Solution

The fourth proportional to 2,064.66, 3,092.13 and 1,628.88 is: 2,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.66 : 3,092.13 = 1,628.88 : x
  2. Step 2: Convert to fraction form
    2,064.66/3,092.13 = 1,628.88/x
  3. Step 3: Cross multiply
    2,064.66x = 3,092.13 × 1,628.88
  4. Step 4: Simplify right side
    2,064.66x = 5,036,708.71
  5. Step 5: Solve for x
    x = 5,036,708.71/2,064.66
  6. Step 6: Final answer
    x = 2,439.49

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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.