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Finding the Fourth Proportional to 2,035.62, 2,808.14 and 1,289.03

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Solution

The fourth proportional to 2,035.62, 2,808.14 and 1,289.03 is: 1,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.62 : 2,808.14 = 1,289.03 : x
  2. Step 2: Convert to fraction form
    2,035.62/2,808.14 = 1,289.03/x
  3. Step 3: Cross multiply
    2,035.62x = 2,808.14 × 1,289.03
  4. Step 4: Simplify right side
    2,035.62x = 3,619,756.22
  5. Step 5: Solve for x
    x = 3,619,756.22/2,035.62
  6. Step 6: Final answer
    x = 1,778.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.