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Finding the Fourth Proportional to 2,512.54, 3,467.78 and 1,671.76

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Solution

The fourth proportional to 2,512.54, 3,467.78 and 1,671.76 is: 2,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.54 : 3,467.78 = 1,671.76 : x
  2. Step 2: Convert to fraction form
    2,512.54/3,467.78 = 1,671.76/x
  3. Step 3: Cross multiply
    2,512.54x = 3,467.78 × 1,671.76
  4. Step 4: Simplify right side
    2,512.54x = 5,797,295.89
  5. Step 5: Solve for x
    x = 5,797,295.89/2,512.54
  6. Step 6: Final answer
    x = 2,307.34

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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.