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Finding the Fourth Proportional to 2,100.79, 2,898.92 and 1,216.42

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Solution

The fourth proportional to 2,100.79, 2,898.92 and 1,216.42 is: 1,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.79 : 2,898.92 = 1,216.42 : x
  2. Step 2: Convert to fraction form
    2,100.79/2,898.92 = 1,216.42/x
  3. Step 3: Cross multiply
    2,100.79x = 2,898.92 × 1,216.42
  4. Step 4: Simplify right side
    2,100.79x = 3,526,304.27
  5. Step 5: Solve for x
    x = 3,526,304.27/2,100.79
  6. Step 6: Final answer
    x = 1,678.56

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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.