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Finding the Fourth Proportional to 2,196.95, 3,029.06 and 1,775.75

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Solution

The fourth proportional to 2,196.95, 3,029.06 and 1,775.75 is: 2,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.95 : 3,029.06 = 1,775.75 : x
  2. Step 2: Convert to fraction form
    2,196.95/3,029.06 = 1,775.75/x
  3. Step 3: Cross multiply
    2,196.95x = 3,029.06 × 1,775.75
  4. Step 4: Simplify right side
    2,196.95x = 5,378,842.59
  5. Step 5: Solve for x
    x = 5,378,842.59/2,196.95
  6. Step 6: Final answer
    x = 2,448.33

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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.