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Finding the Fourth Proportional to 2,544.42, 3,512.25 and 1,496.82

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Solution

The fourth proportional to 2,544.42, 3,512.25 and 1,496.82 is: 2,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.42 : 3,512.25 = 1,496.82 : x
  2. Step 2: Convert to fraction form
    2,544.42/3,512.25 = 1,496.82/x
  3. Step 3: Cross multiply
    2,544.42x = 3,512.25 × 1,496.82
  4. Step 4: Simplify right side
    2,544.42x = 5,257,206.05
  5. Step 5: Solve for x
    x = 5,257,206.05/2,544.42
  6. Step 6: Final answer
    x = 2,066.17

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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.