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Finding the Fourth Proportional to 2,798.04, 4,197.87 and 1,237.98

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Solution

The fourth proportional to 2,798.04, 4,197.87 and 1,237.98 is: 1,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.04 : 4,197.87 = 1,237.98 : x
  2. Step 2: Convert to fraction form
    2,798.04/4,197.87 = 1,237.98/x
  3. Step 3: Cross multiply
    2,798.04x = 4,197.87 × 1,237.98
  4. Step 4: Simplify right side
    2,798.04x = 5,196,879.10
  5. Step 5: Solve for x
    x = 5,196,879.10/2,798.04
  6. Step 6: Final answer
    x = 1,857.33

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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.