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Finding the Fourth Proportional to 1,632.54, 2,253.51 and 1,192.71

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Solution

The fourth proportional to 1,632.54, 2,253.51 and 1,192.71 is: 1,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.54 : 2,253.51 = 1,192.71 : x
  2. Step 2: Convert to fraction form
    1,632.54/2,253.51 = 1,192.71/x
  3. Step 3: Cross multiply
    1,632.54x = 2,253.51 × 1,192.71
  4. Step 4: Simplify right side
    1,632.54x = 2,687,783.91
  5. Step 5: Solve for x
    x = 2,687,783.91/1,632.54
  6. Step 6: Final answer
    x = 1,646.38

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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.