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Finding the Fourth Proportional to 2,796.63, 4,194.36 and 848.40

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Solution

The fourth proportional to 2,796.63, 4,194.36 and 848.40 is: 1,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.63 : 4,194.36 = 848.40 : x
  2. Step 2: Convert to fraction form
    2,796.63/4,194.36 = 848.40/x
  3. Step 3: Cross multiply
    2,796.63x = 4,194.36 × 848.40
  4. Step 4: Simplify right side
    2,796.63x = 3,558,495.02
  5. Step 5: Solve for x
    x = 3,558,495.02/2,796.63
  6. Step 6: Final answer
    x = 1,272.42

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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.