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Finding the Fourth Proportional to 2,830.57, 4,245.87 and 1,349.92

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Solution

The fourth proportional to 2,830.57, 4,245.87 and 1,349.92 is: 2,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.57 : 4,245.87 = 1,349.92 : x
  2. Step 2: Convert to fraction form
    2,830.57/4,245.87 = 1,349.92/x
  3. Step 3: Cross multiply
    2,830.57x = 4,245.87 × 1,349.92
  4. Step 4: Simplify right side
    2,830.57x = 5,731,584.83
  5. Step 5: Solve for x
    x = 5,731,584.83/2,830.57
  6. Step 6: Final answer
    x = 2,024.89

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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.