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Finding the Fourth Proportional to 3,120.98, 4,307.13 and 1,794.83

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Solution

The fourth proportional to 3,120.98, 4,307.13 and 1,794.83 is: 2,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.98 : 4,307.13 = 1,794.83 : x
  2. Step 2: Convert to fraction form
    3,120.98/4,307.13 = 1,794.83/x
  3. Step 3: Cross multiply
    3,120.98x = 4,307.13 × 1,794.83
  4. Step 4: Simplify right side
    3,120.98x = 7,730,544.60
  5. Step 5: Solve for x
    x = 7,730,544.60/3,120.98
  6. Step 6: Final answer
    x = 2,476.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.