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Finding the Fourth Proportional to 2,978.34, 4,109.69 and 1,719.20

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Solution

The fourth proportional to 2,978.34, 4,109.69 and 1,719.20 is: 2,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.34 : 4,109.69 = 1,719.20 : x
  2. Step 2: Convert to fraction form
    2,978.34/4,109.69 = 1,719.20/x
  3. Step 3: Cross multiply
    2,978.34x = 4,109.69 × 1,719.20
  4. Step 4: Simplify right side
    2,978.34x = 7,065,349.90
  5. Step 5: Solve for x
    x = 7,065,349.90/2,978.34
  6. Step 6: Final answer
    x = 2,372.24

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