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Finding the Fourth Proportional to 2,707.50, 3,736.43 and 1,512.58

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Solution

The fourth proportional to 2,707.50, 3,736.43 and 1,512.58 is: 2,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.50 : 3,736.43 = 1,512.58 : x
  2. Step 2: Convert to fraction form
    2,707.50/3,736.43 = 1,512.58/x
  3. Step 3: Cross multiply
    2,707.50x = 3,736.43 × 1,512.58
  4. Step 4: Simplify right side
    2,707.50x = 5,651,649.29
  5. Step 5: Solve for x
    x = 5,651,649.29/2,707.50
  6. Step 6: Final answer
    x = 2,087.41

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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.