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Finding the Fourth Proportional to 1,627.38, 2,245.84 and 919.25

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Solution

The fourth proportional to 1,627.38, 2,245.84 and 919.25 is: 1,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.38 : 2,245.84 = 919.25 : x
  2. Step 2: Convert to fraction form
    1,627.38/2,245.84 = 919.25/x
  3. Step 3: Cross multiply
    1,627.38x = 2,245.84 × 919.25
  4. Step 4: Simplify right side
    1,627.38x = 2,064,484.61
  5. Step 5: Solve for x
    x = 2,064,484.61/1,627.38
  6. Step 6: Final answer
    x = 1,268.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.