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Finding the Fourth Proportional to 1,441.02, 2,161.84 and 467.22

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Solution

The fourth proportional to 1,441.02, 2,161.84 and 467.22 is: 700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.02 : 2,161.84 = 467.22 : x
  2. Step 2: Convert to fraction form
    1,441.02/2,161.84 = 467.22/x
  3. Step 3: Cross multiply
    1,441.02x = 2,161.84 × 467.22
  4. Step 4: Simplify right side
    1,441.02x = 1,010,054.88
  5. Step 5: Solve for x
    x = 1,010,054.88/1,441.02
  6. Step 6: Final answer
    x = 700.93

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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.