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Finding the Fourth Proportional to 3,008.69, 4,513.46 and 928.86

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Solution

The fourth proportional to 3,008.69, 4,513.46 and 928.86 is: 1,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.69 : 4,513.46 = 928.86 : x
  2. Step 2: Convert to fraction form
    3,008.69/4,513.46 = 928.86/x
  3. Step 3: Cross multiply
    3,008.69x = 4,513.46 × 928.86
  4. Step 4: Simplify right side
    3,008.69x = 4,192,367.81
  5. Step 5: Solve for x
    x = 4,192,367.81/3,008.69
  6. Step 6: Final answer
    x = 1,393.42

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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.