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Finding the Fourth Proportional to 3,153.20, 4,351.95 and 1,826.87

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Solution

The fourth proportional to 3,153.20, 4,351.95 and 1,826.87 is: 2,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.20 : 4,351.95 = 1,826.87 : x
  2. Step 2: Convert to fraction form
    3,153.20/4,351.95 = 1,826.87/x
  3. Step 3: Cross multiply
    3,153.20x = 4,351.95 × 1,826.87
  4. Step 4: Simplify right side
    3,153.20x = 7,950,425.14
  5. Step 5: Solve for x
    x = 7,950,425.14/3,153.20
  6. Step 6: Final answer
    x = 2,521.39

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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.