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Finding the Fourth Proportional to 3,239.84, 4,470.96 and 1,823.49

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Solution

The fourth proportional to 3,239.84, 4,470.96 and 1,823.49 is: 2,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.84 : 4,470.96 = 1,823.49 : x
  2. Step 2: Convert to fraction form
    3,239.84/4,470.96 = 1,823.49/x
  3. Step 3: Cross multiply
    3,239.84x = 4,470.96 × 1,823.49
  4. Step 4: Simplify right side
    3,239.84x = 8,152,750.85
  5. Step 5: Solve for x
    x = 8,152,750.85/3,239.84
  6. Step 6: Final answer
    x = 2,516.41

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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.