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Finding the Fourth Proportional to 2,014.33, 3,021.93 and 627.64

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Solution

The fourth proportional to 2,014.33, 3,021.93 and 627.64 is: 941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.33 : 3,021.93 = 627.64 : x
  2. Step 2: Convert to fraction form
    2,014.33/3,021.93 = 627.64/x
  3. Step 3: Cross multiply
    2,014.33x = 3,021.93 × 627.64
  4. Step 4: Simplify right side
    2,014.33x = 1,896,684.15
  5. Step 5: Solve for x
    x = 1,896,684.15/2,014.33
  6. Step 6: Final answer
    x = 941.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.