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Finding the Fourth Proportional to 2,798, 4,197.75 and 2,491.95

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Solution

The fourth proportional to 2,798, 4,197.75 and 2,491.95 is: 3,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798 : 4,197.75 = 2,491.95 : x
  2. Step 2: Convert to fraction form
    2,798/4,197.75 = 2,491.95/x
  3. Step 3: Cross multiply
    2,798x = 4,197.75 × 2,491.95
  4. Step 4: Simplify right side
    2,798x = 10,460,583.11
  5. Step 5: Solve for x
    x = 10,460,583.11/2,798
  6. Step 6: Final answer
    x = 3,738.59

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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.