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Finding the Fourth Proportional to 1,482.44, 2,222.44 and 864.62

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Solution

The fourth proportional to 1,482.44, 2,222.44 and 864.62 is: 1,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.44 : 2,222.44 = 864.62 : x
  2. Step 2: Convert to fraction form
    1,482.44/2,222.44 = 864.62/x
  3. Step 3: Cross multiply
    1,482.44x = 2,222.44 × 864.62
  4. Step 4: Simplify right side
    1,482.44x = 1,921,566.07
  5. Step 5: Solve for x
    x = 1,921,566.07/1,482.44
  6. Step 6: Final answer
    x = 1,296.22

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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.