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Finding the Fourth Proportional to 2,169.69, 2,994.62 and 1,383.59

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Solution

The fourth proportional to 2,169.69, 2,994.62 and 1,383.59 is: 1,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.69 : 2,994.62 = 1,383.59 : x
  2. Step 2: Convert to fraction form
    2,169.69/2,994.62 = 1,383.59/x
  3. Step 3: Cross multiply
    2,169.69x = 2,994.62 × 1,383.59
  4. Step 4: Simplify right side
    2,169.69x = 4,143,304.39
  5. Step 5: Solve for x
    x = 4,143,304.39/2,169.69
  6. Step 6: Final answer
    x = 1,909.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.