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Finding the Fourth Proportional to 2,376.79, 3,559.41 and 1,644.14

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Solution

The fourth proportional to 2,376.79, 3,559.41 and 1,644.14 is: 2,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.79 : 3,559.41 = 1,644.14 : x
  2. Step 2: Convert to fraction form
    2,376.79/3,559.41 = 1,644.14/x
  3. Step 3: Cross multiply
    2,376.79x = 3,559.41 × 1,644.14
  4. Step 4: Simplify right side
    2,376.79x = 5,852,177.26
  5. Step 5: Solve for x
    x = 5,852,177.26/2,376.79
  6. Step 6: Final answer
    x = 2,462.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.