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Finding the Fourth Proportional to 2,017.07, 3,025.60 and 922.35

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Solution

The fourth proportional to 2,017.07, 3,025.60 and 922.35 is: 1,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.07 : 3,025.60 = 922.35 : x
  2. Step 2: Convert to fraction form
    2,017.07/3,025.60 = 922.35/x
  3. Step 3: Cross multiply
    2,017.07x = 3,025.60 × 922.35
  4. Step 4: Simplify right side
    2,017.07x = 2,790,662.16
  5. Step 5: Solve for x
    x = 2,790,662.16/2,017.07
  6. Step 6: Final answer
    x = 1,383.53

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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.