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Finding the Fourth Proportional to 2,208.79, 3,312.64 and 669.79

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Solution

The fourth proportional to 2,208.79, 3,312.64 and 669.79 is: 1,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.79 : 3,312.64 = 669.79 : x
  2. Step 2: Convert to fraction form
    2,208.79/3,312.64 = 669.79/x
  3. Step 3: Cross multiply
    2,208.79x = 3,312.64 × 669.79
  4. Step 4: Simplify right side
    2,208.79x = 2,218,773.15
  5. Step 5: Solve for x
    x = 2,218,773.15/2,208.79
  6. Step 6: Final answer
    x = 1,004.52

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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.