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Finding the Fourth Proportional to 2,829.93, 3,907.20 and 2,084.73

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Solution

The fourth proportional to 2,829.93, 3,907.20 and 2,084.73 is: 2,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.93 : 3,907.20 = 2,084.73 : x
  2. Step 2: Convert to fraction form
    2,829.93/3,907.20 = 2,084.73/x
  3. Step 3: Cross multiply
    2,829.93x = 3,907.20 × 2,084.73
  4. Step 4: Simplify right side
    2,829.93x = 8,145,457.06
  5. Step 5: Solve for x
    x = 8,145,457.06/2,829.93
  6. Step 6: Final answer
    x = 2,878.32

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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.