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Finding the Fourth Proportional to 2,169.46, 2,993.76 and 1,383.76

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Solution

The fourth proportional to 2,169.46, 2,993.76 and 1,383.76 is: 1,909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.46 : 2,993.76 = 1,383.76 : x
  2. Step 2: Convert to fraction form
    2,169.46/2,993.76 = 1,383.76/x
  3. Step 3: Cross multiply
    2,169.46x = 2,993.76 × 1,383.76
  4. Step 4: Simplify right side
    2,169.46x = 4,142,645.34
  5. Step 5: Solve for x
    x = 4,142,645.34/2,169.46
  6. Step 6: Final answer
    x = 1,909.53

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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.