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Finding the Fourth Proportional to 2,741.48, 4,111.25 and 892.25

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Solution

The fourth proportional to 2,741.48, 4,111.25 and 892.25 is: 1,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.48 : 4,111.25 = 892.25 : x
  2. Step 2: Convert to fraction form
    2,741.48/4,111.25 = 892.25/x
  3. Step 3: Cross multiply
    2,741.48x = 4,111.25 × 892.25
  4. Step 4: Simplify right side
    2,741.48x = 3,668,275.32
  5. Step 5: Solve for x
    x = 3,668,275.32/2,741.48
  6. Step 6: Final answer
    x = 1,338.06

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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.