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Finding the Fourth Proportional to 2,232.01, 3,080.19 and 1,446.06

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Solution

The fourth proportional to 2,232.01, 3,080.19 and 1,446.06 is: 1,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.01 : 3,080.19 = 1,446.06 : x
  2. Step 2: Convert to fraction form
    2,232.01/3,080.19 = 1,446.06/x
  3. Step 3: Cross multiply
    2,232.01x = 3,080.19 × 1,446.06
  4. Step 4: Simplify right side
    2,232.01x = 4,454,139.55
  5. Step 5: Solve for x
    x = 4,454,139.55/2,232.01
  6. Step 6: Final answer
    x = 1,995.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.