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Finding the Fourth Proportional to 2,562.46, 3,846.84 and 2,433.34

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Solution

The fourth proportional to 2,562.46, 3,846.84 and 2,433.34 is: 3,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.46 : 3,846.84 = 2,433.34 : x
  2. Step 2: Convert to fraction form
    2,562.46/3,846.84 = 2,433.34/x
  3. Step 3: Cross multiply
    2,562.46x = 3,846.84 × 2,433.34
  4. Step 4: Simplify right side
    2,562.46x = 9,360,669.65
  5. Step 5: Solve for x
    x = 9,360,669.65/2,562.46
  6. Step 6: Final answer
    x = 3,653.00

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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.