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Finding the Fourth Proportional to 2,830.97, 4,238.85 and 1,840.84

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Solution

The fourth proportional to 2,830.97, 4,238.85 and 1,840.84 is: 2,756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.97 : 4,238.85 = 1,840.84 : x
  2. Step 2: Convert to fraction form
    2,830.97/4,238.85 = 1,840.84/x
  3. Step 3: Cross multiply
    2,830.97x = 4,238.85 × 1,840.84
  4. Step 4: Simplify right side
    2,830.97x = 7,803,040.43
  5. Step 5: Solve for x
    x = 7,803,040.43/2,830.97
  6. Step 6: Final answer
    x = 2,756.31

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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.