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Finding the Fourth Proportional to 2,825.99, 4,240.86 and 1,161.48

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Solution

The fourth proportional to 2,825.99, 4,240.86 and 1,161.48 is: 1,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.99 : 4,240.86 = 1,161.48 : x
  2. Step 2: Convert to fraction form
    2,825.99/4,240.86 = 1,161.48/x
  3. Step 3: Cross multiply
    2,825.99x = 4,240.86 × 1,161.48
  4. Step 4: Simplify right side
    2,825.99x = 4,925,652.87
  5. Step 5: Solve for x
    x = 4,925,652.87/2,825.99
  6. Step 6: Final answer
    x = 1,742.99

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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.