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Finding the Fourth Proportional to 2,840.90, 3,918.22 and 1,846.50

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Solution

The fourth proportional to 2,840.90, 3,918.22 and 1,846.50 is: 2,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.90 : 3,918.22 = 1,846.50 : x
  2. Step 2: Convert to fraction form
    2,840.90/3,918.22 = 1,846.50/x
  3. Step 3: Cross multiply
    2,840.90x = 3,918.22 × 1,846.50
  4. Step 4: Simplify right side
    2,840.90x = 7,234,988.61
  5. Step 5: Solve for x
    x = 7,234,988.61/2,840.90
  6. Step 6: Final answer
    x = 2,546.72

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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.