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Finding the Fourth Proportional to 2,087.90, 3,131.79 and 627.06

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Solution

The fourth proportional to 2,087.90, 3,131.79 and 627.06 is: 940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.90 : 3,131.79 = 627.06 : x
  2. Step 2: Convert to fraction form
    2,087.90/3,131.79 = 627.06/x
  3. Step 3: Cross multiply
    2,087.90x = 3,131.79 × 627.06
  4. Step 4: Simplify right side
    2,087.90x = 1,963,820.24
  5. Step 5: Solve for x
    x = 1,963,820.24/2,087.90
  6. Step 6: Final answer
    x = 940.57

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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.