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Finding the Fourth Proportional to 2,669.68, 4,004.72 and 822.07

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Solution

The fourth proportional to 2,669.68, 4,004.72 and 822.07 is: 1,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.68 : 4,004.72 = 822.07 : x
  2. Step 2: Convert to fraction form
    2,669.68/4,004.72 = 822.07/x
  3. Step 3: Cross multiply
    2,669.68x = 4,004.72 × 822.07
  4. Step 4: Simplify right side
    2,669.68x = 3,292,160.17
  5. Step 5: Solve for x
    x = 3,292,160.17/2,669.68
  6. Step 6: Final answer
    x = 1,233.17

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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.