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Finding the Fourth Proportional to 2,415.84, 3,629.52 and 1,390.56

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Solution

The fourth proportional to 2,415.84, 3,629.52 and 1,390.56 is: 2,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.84 : 3,629.52 = 1,390.56 : x
  2. Step 2: Convert to fraction form
    2,415.84/3,629.52 = 1,390.56/x
  3. Step 3: Cross multiply
    2,415.84x = 3,629.52 × 1,390.56
  4. Step 4: Simplify right side
    2,415.84x = 5,047,065.33
  5. Step 5: Solve for x
    x = 5,047,065.33/2,415.84
  6. Step 6: Final answer
    x = 2,089.16

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