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Finding the Fourth Proportional to 2,383.74, 3,289.14 and 1,439.28

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Solution

The fourth proportional to 2,383.74, 3,289.14 and 1,439.28 is: 1,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.74 : 3,289.14 = 1,439.28 : x
  2. Step 2: Convert to fraction form
    2,383.74/3,289.14 = 1,439.28/x
  3. Step 3: Cross multiply
    2,383.74x = 3,289.14 × 1,439.28
  4. Step 4: Simplify right side
    2,383.74x = 4,733,993.42
  5. Step 5: Solve for x
    x = 4,733,993.42/2,383.74
  6. Step 6: Final answer
    x = 1,985.95

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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.