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Finding the Fourth Proportional to 1,336.91, 2,006.57 and 928.67

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Solution

The fourth proportional to 1,336.91, 2,006.57 and 928.67 is: 1,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.91 : 2,006.57 = 928.67 : x
  2. Step 2: Convert to fraction form
    1,336.91/2,006.57 = 928.67/x
  3. Step 3: Cross multiply
    1,336.91x = 2,006.57 × 928.67
  4. Step 4: Simplify right side
    1,336.91x = 1,863,433.65
  5. Step 5: Solve for x
    x = 1,863,433.65/1,336.91
  6. Step 6: Final answer
    x = 1,393.84

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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.