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Finding the Fourth Proportional to 2,719.63, 4,081.20 and 1,422.01

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Solution

The fourth proportional to 2,719.63, 4,081.20 and 1,422.01 is: 2,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.63 : 4,081.20 = 1,422.01 : x
  2. Step 2: Convert to fraction form
    2,719.63/4,081.20 = 1,422.01/x
  3. Step 3: Cross multiply
    2,719.63x = 4,081.20 × 1,422.01
  4. Step 4: Simplify right side
    2,719.63x = 5,803,507.21
  5. Step 5: Solve for x
    x = 5,803,507.21/2,719.63
  6. Step 6: Final answer
    x = 2,133.93

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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.