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Finding the Fourth Proportional to 2,512.51, 3,467.54 and 1,517.78

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Solution

The fourth proportional to 2,512.51, 3,467.54 and 1,517.78 is: 2,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.51 : 3,467.54 = 1,517.78 : x
  2. Step 2: Convert to fraction form
    2,512.51/3,467.54 = 1,517.78/x
  3. Step 3: Cross multiply
    2,512.51x = 3,467.54 × 1,517.78
  4. Step 4: Simplify right side
    2,512.51x = 5,262,962.86
  5. Step 5: Solve for x
    x = 5,262,962.86/2,512.51
  6. Step 6: Final answer
    x = 2,094.70

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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.