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Finding the Fourth Proportional to 2,544.75, 3,511.71 and 1,425.68

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Solution

The fourth proportional to 2,544.75, 3,511.71 and 1,425.68 is: 1,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.75 : 3,511.71 = 1,425.68 : x
  2. Step 2: Convert to fraction form
    2,544.75/3,511.71 = 1,425.68/x
  3. Step 3: Cross multiply
    2,544.75x = 3,511.71 × 1,425.68
  4. Step 4: Simplify right side
    2,544.75x = 5,006,574.71
  5. Step 5: Solve for x
    x = 5,006,574.71/2,544.75
  6. Step 6: Final answer
    x = 1,967.41

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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.