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Finding the Fourth Proportional to 1,846.61, 2,769.32 and 613.69

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Solution

The fourth proportional to 1,846.61, 2,769.32 and 613.69 is: 920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.61 : 2,769.32 = 613.69 : x
  2. Step 2: Convert to fraction form
    1,846.61/2,769.32 = 613.69/x
  3. Step 3: Cross multiply
    1,846.61x = 2,769.32 × 613.69
  4. Step 4: Simplify right side
    1,846.61x = 1,699,494.00
  5. Step 5: Solve for x
    x = 1,699,494.00/1,846.61
  6. Step 6: Final answer
    x = 920.33

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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.