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Finding the Fourth Proportional to 2,098.95, 2,896.19 and 1,214.60

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Solution

The fourth proportional to 2,098.95, 2,896.19 and 1,214.60 is: 1,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.95 : 2,896.19 = 1,214.60 : x
  2. Step 2: Convert to fraction form
    2,098.95/2,896.19 = 1,214.60/x
  3. Step 3: Cross multiply
    2,098.95x = 2,896.19 × 1,214.60
  4. Step 4: Simplify right side
    2,098.95x = 3,517,696.37
  5. Step 5: Solve for x
    x = 3,517,696.37/2,098.95
  6. Step 6: Final answer
    x = 1,675.93

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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.