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Finding the Fourth Proportional to 2,041.60, 3,059.94 and 741.54

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Solution

The fourth proportional to 2,041.60, 3,059.94 and 741.54 is: 1,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.60 : 3,059.94 = 741.54 : x
  2. Step 2: Convert to fraction form
    2,041.60/3,059.94 = 741.54/x
  3. Step 3: Cross multiply
    2,041.60x = 3,059.94 × 741.54
  4. Step 4: Simplify right side
    2,041.60x = 2,269,067.91
  5. Step 5: Solve for x
    x = 2,269,067.91/2,041.60
  6. Step 6: Final answer
    x = 1,111.42

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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.