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Finding the Fourth Proportional to 2,137.76, 2,950.22 and 1,206.32

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Solution

The fourth proportional to 2,137.76, 2,950.22 and 1,206.32 is: 1,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.76 : 2,950.22 = 1,206.32 : x
  2. Step 2: Convert to fraction form
    2,137.76/2,950.22 = 1,206.32/x
  3. Step 3: Cross multiply
    2,137.76x = 2,950.22 × 1,206.32
  4. Step 4: Simplify right side
    2,137.76x = 3,558,909.39
  5. Step 5: Solve for x
    x = 3,558,909.39/2,137.76
  6. Step 6: Final answer
    x = 1,664.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.