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Finding the Fourth Proportional to 1,401.06, 2,101.45 and 427.17

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Solution

The fourth proportional to 1,401.06, 2,101.45 and 427.17 is: 640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.06 : 2,101.45 = 427.17 : x
  2. Step 2: Convert to fraction form
    1,401.06/2,101.45 = 427.17/x
  3. Step 3: Cross multiply
    1,401.06x = 2,101.45 × 427.17
  4. Step 4: Simplify right side
    1,401.06x = 897,676.40
  5. Step 5: Solve for x
    x = 897,676.40/1,401.06
  6. Step 6: Final answer
    x = 640.71

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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.