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Finding the Fourth Proportional to 1,401.97, 2,099.72 and 1,353.37

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Solution

The fourth proportional to 1,401.97, 2,099.72 and 1,353.37 is: 2,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.97 : 2,099.72 = 1,353.37 : x
  2. Step 2: Convert to fraction form
    1,401.97/2,099.72 = 1,353.37/x
  3. Step 3: Cross multiply
    1,401.97x = 2,099.72 × 1,353.37
  4. Step 4: Simplify right side
    1,401.97x = 2,841,691.29
  5. Step 5: Solve for x
    x = 2,841,691.29/1,401.97
  6. Step 6: Final answer
    x = 2,026.93

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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.