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Finding the Fourth Proportional to 2,383.61, 3,289.53 and 1,321.41

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Solution

The fourth proportional to 2,383.61, 3,289.53 and 1,321.41 is: 1,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.61 : 3,289.53 = 1,321.41 : x
  2. Step 2: Convert to fraction form
    2,383.61/3,289.53 = 1,321.41/x
  3. Step 3: Cross multiply
    2,383.61x = 3,289.53 × 1,321.41
  4. Step 4: Simplify right side
    2,383.61x = 4,346,817.84
  5. Step 5: Solve for x
    x = 4,346,817.84/2,383.61
  6. Step 6: Final answer
    x = 1,823.63

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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.