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Finding the Fourth Proportional to 2,796.60, 4,194.75 and 1,152

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Solution

The fourth proportional to 2,796.60, 4,194.75 and 1,152 is: 1,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.60 : 4,194.75 = 1,152 : x
  2. Step 2: Convert to fraction form
    2,796.60/4,194.75 = 1,152/x
  3. Step 3: Cross multiply
    2,796.60x = 4,194.75 × 1,152
  4. Step 4: Simplify right side
    2,796.60x = 4,832,352
  5. Step 5: Solve for x
    x = 4,832,352/2,796.60
  6. Step 6: Final answer
    x = 1,727.94

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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.