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Finding the Fourth Proportional to 2,544.16, 3,804.72 and 2,512.48

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Solution

The fourth proportional to 2,544.16, 3,804.72 and 2,512.48 is: 3,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.16 : 3,804.72 = 2,512.48 : x
  2. Step 2: Convert to fraction form
    2,544.16/3,804.72 = 2,512.48/x
  3. Step 3: Cross multiply
    2,544.16x = 3,804.72 × 2,512.48
  4. Step 4: Simplify right side
    2,544.16x = 9,559,282.91
  5. Step 5: Solve for x
    x = 9,559,282.91/2,544.16
  6. Step 6: Final answer
    x = 3,757.34

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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.