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Finding the Fourth Proportional to 2,978.19, 4,463.91 and 1,514.25

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Solution

The fourth proportional to 2,978.19, 4,463.91 and 1,514.25 is: 2,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.19 : 4,463.91 = 1,514.25 : x
  2. Step 2: Convert to fraction form
    2,978.19/4,463.91 = 1,514.25/x
  3. Step 3: Cross multiply
    2,978.19x = 4,463.91 × 1,514.25
  4. Step 4: Simplify right side
    2,978.19x = 6,759,475.72
  5. Step 5: Solve for x
    x = 6,759,475.72/2,978.19
  6. Step 6: Final answer
    x = 2,269.66

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