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Finding the Fourth Proportional to 2,025.81, 3,036.27 and 928.65

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Solution

The fourth proportional to 2,025.81, 3,036.27 and 928.65 is: 1,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.81 : 3,036.27 = 928.65 : x
  2. Step 2: Convert to fraction form
    2,025.81/3,036.27 = 928.65/x
  3. Step 3: Cross multiply
    2,025.81x = 3,036.27 × 928.65
  4. Step 4: Simplify right side
    2,025.81x = 2,819,632.14
  5. Step 5: Solve for x
    x = 2,819,632.14/2,025.81
  6. Step 6: Final answer
    x = 1,391.85

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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.