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Finding the Fourth Proportional to 1,627.75, 2,247.11 and 1,530.55

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Solution

The fourth proportional to 1,627.75, 2,247.11 and 1,530.55 is: 2,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.75 : 2,247.11 = 1,530.55 : x
  2. Step 2: Convert to fraction form
    1,627.75/2,247.11 = 1,530.55/x
  3. Step 3: Cross multiply
    1,627.75x = 2,247.11 × 1,530.55
  4. Step 4: Simplify right side
    1,627.75x = 3,439,314.21
  5. Step 5: Solve for x
    x = 3,439,314.21/1,627.75
  6. Step 6: Final answer
    x = 2,112.93

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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.