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Finding the Fourth Proportional to 2,018.02, 3,025.73 and 784.12

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Solution

The fourth proportional to 2,018.02, 3,025.73 and 784.12 is: 1,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.02 : 3,025.73 = 784.12 : x
  2. Step 2: Convert to fraction form
    2,018.02/3,025.73 = 784.12/x
  3. Step 3: Cross multiply
    2,018.02x = 3,025.73 × 784.12
  4. Step 4: Simplify right side
    2,018.02x = 2,372,535.41
  5. Step 5: Solve for x
    x = 2,372,535.41/2,018.02
  6. Step 6: Final answer
    x = 1,175.67

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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.