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Finding the Fourth Proportional to 2,333.61, 3,220.34 and 1,339.49

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Solution

The fourth proportional to 2,333.61, 3,220.34 and 1,339.49 is: 1,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.61 : 3,220.34 = 1,339.49 : x
  2. Step 2: Convert to fraction form
    2,333.61/3,220.34 = 1,339.49/x
  3. Step 3: Cross multiply
    2,333.61x = 3,220.34 × 1,339.49
  4. Step 4: Simplify right side
    2,333.61x = 4,313,614.58
  5. Step 5: Solve for x
    x = 4,313,614.58/2,333.61
  6. Step 6: Final answer
    x = 1,848.47

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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.