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Finding the Fourth Proportional to 2,018.34, 3,025.26 and 785.16

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Solution

The fourth proportional to 2,018.34, 3,025.26 and 785.16 is: 1,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.34 : 3,025.26 = 785.16 : x
  2. Step 2: Convert to fraction form
    2,018.34/3,025.26 = 785.16/x
  3. Step 3: Cross multiply
    2,018.34x = 3,025.26 × 785.16
  4. Step 4: Simplify right side
    2,018.34x = 2,375,313.14
  5. Step 5: Solve for x
    x = 2,375,313.14/2,018.34
  6. Step 6: Final answer
    x = 1,176.86

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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.