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Finding the Fourth Proportional to 2,880.40, 4,309.62 and 1,582.78

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Solution

The fourth proportional to 2,880.40, 4,309.62 and 1,582.78 is: 2,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.40 : 4,309.62 = 1,582.78 : x
  2. Step 2: Convert to fraction form
    2,880.40/4,309.62 = 1,582.78/x
  3. Step 3: Cross multiply
    2,880.40x = 4,309.62 × 1,582.78
  4. Step 4: Simplify right side
    2,880.40x = 6,821,180.34
  5. Step 5: Solve for x
    x = 6,821,180.34/2,880.40
  6. Step 6: Final answer
    x = 2,368.14

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