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Finding the Fourth Proportional to 2,384.54, 3,291.23 and 1,589.12

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Solution

The fourth proportional to 2,384.54, 3,291.23 and 1,589.12 is: 2,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.54 : 3,291.23 = 1,589.12 : x
  2. Step 2: Convert to fraction form
    2,384.54/3,291.23 = 1,589.12/x
  3. Step 3: Cross multiply
    2,384.54x = 3,291.23 × 1,589.12
  4. Step 4: Simplify right side
    2,384.54x = 5,230,159.28
  5. Step 5: Solve for x
    x = 5,230,159.28/2,384.54
  6. Step 6: Final answer
    x = 2,193.36

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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.