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Finding the Fourth Proportional to 1,949.06, 2,922.01 and 1,126.41

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Solution

The fourth proportional to 1,949.06, 2,922.01 and 1,126.41 is: 1,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.06 : 2,922.01 = 1,126.41 : x
  2. Step 2: Convert to fraction form
    1,949.06/2,922.01 = 1,126.41/x
  3. Step 3: Cross multiply
    1,949.06x = 2,922.01 × 1,126.41
  4. Step 4: Simplify right side
    1,949.06x = 3,291,367.51
  5. Step 5: Solve for x
    x = 3,291,367.51/1,949.06
  6. Step 6: Final answer
    x = 1,688.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.