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Finding the Fourth Proportional to 2,869.18, 4,304.80 and 1,409.16

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Solution

The fourth proportional to 2,869.18, 4,304.80 and 1,409.16 is: 2,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.18 : 4,304.80 = 1,409.16 : x
  2. Step 2: Convert to fraction form
    2,869.18/4,304.80 = 1,409.16/x
  3. Step 3: Cross multiply
    2,869.18x = 4,304.80 × 1,409.16
  4. Step 4: Simplify right side
    2,869.18x = 6,066,151.97
  5. Step 5: Solve for x
    x = 6,066,151.97/2,869.18
  6. Step 6: Final answer
    x = 2,114.25

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