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Finding the Fourth Proportional to 1,422.64, 2,131.60 and 873.66

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Solution

The fourth proportional to 1,422.64, 2,131.60 and 873.66 is: 1,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.64 : 2,131.60 = 873.66 : x
  2. Step 2: Convert to fraction form
    1,422.64/2,131.60 = 873.66/x
  3. Step 3: Cross multiply
    1,422.64x = 2,131.60 × 873.66
  4. Step 4: Simplify right side
    1,422.64x = 1,862,293.66
  5. Step 5: Solve for x
    x = 1,862,293.66/1,422.64
  6. Step 6: Final answer
    x = 1,309.04

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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.