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Finding the Fourth Proportional to 2,100.81, 2,898.78 and 1,216.69

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Solution

The fourth proportional to 2,100.81, 2,898.78 and 1,216.69 is: 1,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.81 : 2,898.78 = 1,216.69 : x
  2. Step 2: Convert to fraction form
    2,100.81/2,898.78 = 1,216.69/x
  3. Step 3: Cross multiply
    2,100.81x = 2,898.78 × 1,216.69
  4. Step 4: Simplify right side
    2,100.81x = 3,526,910.55
  5. Step 5: Solve for x
    x = 3,526,910.55/2,100.81
  6. Step 6: Final answer
    x = 1,678.83

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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.