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Finding the Fourth Proportional to 3,312.90, 4,963.41 and 1,849.50

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Solution

The fourth proportional to 3,312.90, 4,963.41 and 1,849.50 is: 2,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.90 : 4,963.41 = 1,849.50 : x
  2. Step 2: Convert to fraction form
    3,312.90/4,963.41 = 1,849.50/x
  3. Step 3: Cross multiply
    3,312.90x = 4,963.41 × 1,849.50
  4. Step 4: Simplify right side
    3,312.90x = 9,179,826.80
  5. Step 5: Solve for x
    x = 9,179,826.80/3,312.90
  6. Step 6: Final answer
    x = 2,770.93

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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.