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Finding the Fourth Proportional to 1,401.34, 2,099.70 and 988.48

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Solution

The fourth proportional to 1,401.34, 2,099.70 and 988.48 is: 1,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.34 : 2,099.70 = 988.48 : x
  2. Step 2: Convert to fraction form
    1,401.34/2,099.70 = 988.48/x
  3. Step 3: Cross multiply
    1,401.34x = 2,099.70 × 988.48
  4. Step 4: Simplify right side
    1,401.34x = 2,075,511.46
  5. Step 5: Solve for x
    x = 2,075,511.46/1,401.34
  6. Step 6: Final answer
    x = 1,481.09

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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.