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Finding the Fourth Proportional to 1,401.91, 2,103.09 and 427.78

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Solution

The fourth proportional to 1,401.91, 2,103.09 and 427.78 is: 641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.91 : 2,103.09 = 427.78 : x
  2. Step 2: Convert to fraction form
    1,401.91/2,103.09 = 427.78/x
  3. Step 3: Cross multiply
    1,401.91x = 2,103.09 × 427.78
  4. Step 4: Simplify right side
    1,401.91x = 899,662.07
  5. Step 5: Solve for x
    x = 899,662.07/1,401.91
  6. Step 6: Final answer
    x = 641.74

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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.