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Finding the Fourth Proportional to 2,830.67, 4,245.24 and 1,269.80

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Solution

The fourth proportional to 2,830.67, 4,245.24 and 1,269.80 is: 1,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.67 : 4,245.24 = 1,269.80 : x
  2. Step 2: Convert to fraction form
    2,830.67/4,245.24 = 1,269.80/x
  3. Step 3: Cross multiply
    2,830.67x = 4,245.24 × 1,269.80
  4. Step 4: Simplify right side
    2,830.67x = 5,390,605.75
  5. Step 5: Solve for x
    x = 5,390,605.75/2,830.67
  6. Step 6: Final answer
    x = 1,904.36

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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.