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Finding the Fourth Proportional to 1,627.98, 2,246.56 and 919.85

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Solution

The fourth proportional to 1,627.98, 2,246.56 and 919.85 is: 1,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.98 : 2,246.56 = 919.85 : x
  2. Step 2: Convert to fraction form
    1,627.98/2,246.56 = 919.85/x
  3. Step 3: Cross multiply
    1,627.98x = 2,246.56 × 919.85
  4. Step 4: Simplify right side
    1,627.98x = 2,066,498.22
  5. Step 5: Solve for x
    x = 2,066,498.22/1,627.98
  6. Step 6: Final answer
    x = 1,269.36

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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.