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Finding the Fourth Proportional to 2,642.25, 3,962.19 and 1,409.37

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Solution

The fourth proportional to 2,642.25, 3,962.19 and 1,409.37 is: 2,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.25 : 3,962.19 = 1,409.37 : x
  2. Step 2: Convert to fraction form
    2,642.25/3,962.19 = 1,409.37/x
  3. Step 3: Cross multiply
    2,642.25x = 3,962.19 × 1,409.37
  4. Step 4: Simplify right side
    2,642.25x = 5,584,191.72
  5. Step 5: Solve for x
    x = 5,584,191.72/2,642.25
  6. Step 6: Final answer
    x = 2,113.42

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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.