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Finding the Fourth Proportional to 2,798.36, 4,198.37 and 1,155

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Solution

The fourth proportional to 2,798.36, 4,198.37 and 1,155 is: 1,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.36 : 4,198.37 = 1,155 : x
  2. Step 2: Convert to fraction form
    2,798.36/4,198.37 = 1,155/x
  3. Step 3: Cross multiply
    2,798.36x = 4,198.37 × 1,155
  4. Step 4: Simplify right side
    2,798.36x = 4,849,111.58
  5. Step 5: Solve for x
    x = 4,849,111.58/2,798.36
  6. Step 6: Final answer
    x = 1,732.84

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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.