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Finding the Fourth Proportional to 2,964.50, 4,092.90 and 1,847.07

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Solution

The fourth proportional to 2,964.50, 4,092.90 and 1,847.07 is: 2,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.50 : 4,092.90 = 1,847.07 : x
  2. Step 2: Convert to fraction form
    2,964.50/4,092.90 = 1,847.07/x
  3. Step 3: Cross multiply
    2,964.50x = 4,092.90 × 1,847.07
  4. Step 4: Simplify right side
    2,964.50x = 7,559,865.88
  5. Step 5: Solve for x
    x = 7,559,865.88/2,964.50
  6. Step 6: Final answer
    x = 2,550.13

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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.