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Finding the Fourth Proportional to 4,299, 6,448.68 and 1,221

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Solution

The fourth proportional to 4,299, 6,448.68 and 1,221 is: 1,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299 : 6,448.68 = 1,221 : x
  2. Step 2: Convert to fraction form
    4,299/6,448.68 = 1,221/x
  3. Step 3: Cross multiply
    4,299x = 6,448.68 × 1,221
  4. Step 4: Simplify right side
    4,299x = 7,873,838.28
  5. Step 5: Solve for x
    x = 7,873,838.28/4,299
  6. Step 6: Final answer
    x = 1,831.55

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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.