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Finding the Fourth Proportional to 2,118, 2,922.84 and 1,186.50

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Solution

The fourth proportional to 2,118, 2,922.84 and 1,186.50 is: 1,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118 : 2,922.84 = 1,186.50 : x
  2. Step 2: Convert to fraction form
    2,118/2,922.84 = 1,186.50/x
  3. Step 3: Cross multiply
    2,118x = 2,922.84 × 1,186.50
  4. Step 4: Simplify right side
    2,118x = 3,467,949.66
  5. Step 5: Solve for x
    x = 3,467,949.66/2,118
  6. Step 6: Final answer
    x = 1,637.37

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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.