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Finding the Fourth Proportional to 2,018.42, 3,025.29 and 922.89

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Solution

The fourth proportional to 2,018.42, 3,025.29 and 922.89 is: 1,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.42 : 3,025.29 = 922.89 : x
  2. Step 2: Convert to fraction form
    2,018.42/3,025.29 = 922.89/x
  3. Step 3: Cross multiply
    2,018.42x = 3,025.29 × 922.89
  4. Step 4: Simplify right side
    2,018.42x = 2,792,009.89
  5. Step 5: Solve for x
    x = 2,792,009.89/2,018.42
  6. Step 6: Final answer
    x = 1,383.27

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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.