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Finding the Fourth Proportional to 2,384.59, 3,289.39 and 1,684.75

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Solution

The fourth proportional to 2,384.59, 3,289.39 and 1,684.75 is: 2,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.59 : 3,289.39 = 1,684.75 : x
  2. Step 2: Convert to fraction form
    2,384.59/3,289.39 = 1,684.75/x
  3. Step 3: Cross multiply
    2,384.59x = 3,289.39 × 1,684.75
  4. Step 4: Simplify right side
    2,384.59x = 5,541,799.80
  5. Step 5: Solve for x
    x = 5,541,799.80/2,384.59
  6. Step 6: Final answer
    x = 2,324.01

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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.