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Finding the Fourth Proportional to 2,733.60, 3,774.12 and 2,102.96

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Solution

The fourth proportional to 2,733.60, 3,774.12 and 2,102.96 is: 2,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.60 : 3,774.12 = 2,102.96 : x
  2. Step 2: Convert to fraction form
    2,733.60/3,774.12 = 2,102.96/x
  3. Step 3: Cross multiply
    2,733.60x = 3,774.12 × 2,102.96
  4. Step 4: Simplify right side
    2,733.60x = 7,936,823.40
  5. Step 5: Solve for x
    x = 7,936,823.40/2,733.60
  6. Step 6: Final answer
    x = 2,903.43

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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.