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Finding the Fourth Proportional to 2,563.84, 3,846 and 1,544.32

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Solution

The fourth proportional to 2,563.84, 3,846 and 1,544.32 is: 2,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.84 : 3,846 = 1,544.32 : x
  2. Step 2: Convert to fraction form
    2,563.84/3,846 = 1,544.32/x
  3. Step 3: Cross multiply
    2,563.84x = 3,846 × 1,544.32
  4. Step 4: Simplify right side
    2,563.84x = 5,939,454.72
  5. Step 5: Solve for x
    x = 5,939,454.72/2,563.84
  6. Step 6: Final answer
    x = 2,316.62

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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.