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Finding the Fourth Proportional to 3,384.52, 5,069.49 and 1,649.50

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Solution

The fourth proportional to 3,384.52, 5,069.49 and 1,649.50 is: 2,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.52 : 5,069.49 = 1,649.50 : x
  2. Step 2: Convert to fraction form
    3,384.52/5,069.49 = 1,649.50/x
  3. Step 3: Cross multiply
    3,384.52x = 5,069.49 × 1,649.50
  4. Step 4: Simplify right side
    3,384.52x = 8,362,123.76
  5. Step 5: Solve for x
    x = 8,362,123.76/3,384.52
  6. Step 6: Final answer
    x = 2,470.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.