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Finding the Fourth Proportional to 2,098.06, 2,895.24 and 1,214.14

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Solution

The fourth proportional to 2,098.06, 2,895.24 and 1,214.14 is: 1,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.06 : 2,895.24 = 1,214.14 : x
  2. Step 2: Convert to fraction form
    2,098.06/2,895.24 = 1,214.14/x
  3. Step 3: Cross multiply
    2,098.06x = 2,895.24 × 1,214.14
  4. Step 4: Simplify right side
    2,098.06x = 3,515,226.69
  5. Step 5: Solve for x
    x = 3,515,226.69/2,098.06
  6. Step 6: Final answer
    x = 1,675.47

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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.