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Finding the Fourth Proportional to 2,533.92, 3,806.84 and 2,394.06

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Solution

The fourth proportional to 2,533.92, 3,806.84 and 2,394.06 is: 3,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.92 : 3,806.84 = 2,394.06 : x
  2. Step 2: Convert to fraction form
    2,533.92/3,806.84 = 2,394.06/x
  3. Step 3: Cross multiply
    2,533.92x = 3,806.84 × 2,394.06
  4. Step 4: Simplify right side
    2,533.92x = 9,113,803.37
  5. Step 5: Solve for x
    x = 9,113,803.37/2,533.92
  6. Step 6: Final answer
    x = 3,596.72

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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.