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Finding the Fourth Proportional to 2,411.66, 3,620.37 and 1,438.22

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Solution

The fourth proportional to 2,411.66, 3,620.37 and 1,438.22 is: 2,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.66 : 3,620.37 = 1,438.22 : x
  2. Step 2: Convert to fraction form
    2,411.66/3,620.37 = 1,438.22/x
  3. Step 3: Cross multiply
    2,411.66x = 3,620.37 × 1,438.22
  4. Step 4: Simplify right side
    2,411.66x = 5,206,888.54
  5. Step 5: Solve for x
    x = 5,206,888.54/2,411.66
  6. Step 6: Final answer
    x = 2,159.05

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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.