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Finding the Fourth Proportional to 2,390.02, 3,583.62 and 1,416.80

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Solution

The fourth proportional to 2,390.02, 3,583.62 and 1,416.80 is: 2,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.02 : 3,583.62 = 1,416.80 : x
  2. Step 2: Convert to fraction form
    2,390.02/3,583.62 = 1,416.80/x
  3. Step 3: Cross multiply
    2,390.02x = 3,583.62 × 1,416.80
  4. Step 4: Simplify right side
    2,390.02x = 5,077,272.82
  5. Step 5: Solve for x
    x = 5,077,272.82/2,390.02
  6. Step 6: Final answer
    x = 2,124.36

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