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Finding the Fourth Proportional to 1,619.06, 2,235.11 and 1,097.82

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Solution

The fourth proportional to 1,619.06, 2,235.11 and 1,097.82 is: 1,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.06 : 2,235.11 = 1,097.82 : x
  2. Step 2: Convert to fraction form
    1,619.06/2,235.11 = 1,097.82/x
  3. Step 3: Cross multiply
    1,619.06x = 2,235.11 × 1,097.82
  4. Step 4: Simplify right side
    1,619.06x = 2,453,748.46
  5. Step 5: Solve for x
    x = 2,453,748.46/1,619.06
  6. Step 6: Final answer
    x = 1,515.54

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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.