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Finding the Fourth Proportional to 1,401.33, 2,099.67 and 989.63

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Solution

The fourth proportional to 1,401.33, 2,099.67 and 989.63 is: 1,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.33 : 2,099.67 = 989.63 : x
  2. Step 2: Convert to fraction form
    1,401.33/2,099.67 = 989.63/x
  3. Step 3: Cross multiply
    1,401.33x = 2,099.67 × 989.63
  4. Step 4: Simplify right side
    1,401.33x = 2,077,885.92
  5. Step 5: Solve for x
    x = 2,077,885.92/1,401.33
  6. Step 6: Final answer
    x = 1,482.80

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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.