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Finding the Fourth Proportional to 3,448.96, 4,759.68 and 2,051.68

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Solution

The fourth proportional to 3,448.96, 4,759.68 and 2,051.68 is: 2,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.96 : 4,759.68 = 2,051.68 : x
  2. Step 2: Convert to fraction form
    3,448.96/4,759.68 = 2,051.68/x
  3. Step 3: Cross multiply
    3,448.96x = 4,759.68 × 2,051.68
  4. Step 4: Simplify right side
    3,448.96x = 9,765,340.26
  5. Step 5: Solve for x
    x = 9,765,340.26/3,448.96
  6. Step 6: Final answer
    x = 2,831.39

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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.