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Finding the Fourth Proportional to 2,685.75, 4,023.40 and 1,512.17

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Solution

The fourth proportional to 2,685.75, 4,023.40 and 1,512.17 is: 2,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.75 : 4,023.40 = 1,512.17 : x
  2. Step 2: Convert to fraction form
    2,685.75/4,023.40 = 1,512.17/x
  3. Step 3: Cross multiply
    2,685.75x = 4,023.40 × 1,512.17
  4. Step 4: Simplify right side
    2,685.75x = 6,084,064.78
  5. Step 5: Solve for x
    x = 6,084,064.78/2,685.75
  6. Step 6: Final answer
    x = 2,265.31

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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.