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Finding the Fourth Proportional to 1,442.46, 2,163.80 and 469.26

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Solution

The fourth proportional to 1,442.46, 2,163.80 and 469.26 is: 703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.46 : 2,163.80 = 469.26 : x
  2. Step 2: Convert to fraction form
    1,442.46/2,163.80 = 469.26/x
  3. Step 3: Cross multiply
    1,442.46x = 2,163.80 × 469.26
  4. Step 4: Simplify right side
    1,442.46x = 1,015,382.44
  5. Step 5: Solve for x
    x = 1,015,382.44/1,442.46
  6. Step 6: Final answer
    x = 703.92

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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.