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Finding the Fourth Proportional to 2,009.90, 2,774.43 and 1,954.41

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Solution

The fourth proportional to 2,009.90, 2,774.43 and 1,954.41 is: 2,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.90 : 2,774.43 = 1,954.41 : x
  2. Step 2: Convert to fraction form
    2,009.90/2,774.43 = 1,954.41/x
  3. Step 3: Cross multiply
    2,009.90x = 2,774.43 × 1,954.41
  4. Step 4: Simplify right side
    2,009.90x = 5,422,373.74
  5. Step 5: Solve for x
    x = 5,422,373.74/2,009.90
  6. Step 6: Final answer
    x = 2,697.83

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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.