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Finding the Fourth Proportional to 2,232.99, 3,078.59 and 1,833.18

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Solution

The fourth proportional to 2,232.99, 3,078.59 and 1,833.18 is: 2,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.99 : 3,078.59 = 1,833.18 : x
  2. Step 2: Convert to fraction form
    2,232.99/3,078.59 = 1,833.18/x
  3. Step 3: Cross multiply
    2,232.99x = 3,078.59 × 1,833.18
  4. Step 4: Simplify right side
    2,232.99x = 5,643,600.45
  5. Step 5: Solve for x
    x = 5,643,600.45/2,232.99
  6. Step 6: Final answer
    x = 2,527.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.