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Finding the Fourth Proportional to 2,003.68, 3,004.48 and 770.14

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Solution

The fourth proportional to 2,003.68, 3,004.48 and 770.14 is: 1,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.68 : 3,004.48 = 770.14 : x
  2. Step 2: Convert to fraction form
    2,003.68/3,004.48 = 770.14/x
  3. Step 3: Cross multiply
    2,003.68x = 3,004.48 × 770.14
  4. Step 4: Simplify right side
    2,003.68x = 2,313,870.23
  5. Step 5: Solve for x
    x = 2,313,870.23/2,003.68
  6. Step 6: Final answer
    x = 1,154.81

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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.