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Finding the Fourth Proportional to 2,978.32, 4,465.32 and 1,882.48

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Solution

The fourth proportional to 2,978.32, 4,465.32 and 1,882.48 is: 2,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.32 : 4,465.32 = 1,882.48 : x
  2. Step 2: Convert to fraction form
    2,978.32/4,465.32 = 1,882.48/x
  3. Step 3: Cross multiply
    2,978.32x = 4,465.32 × 1,882.48
  4. Step 4: Simplify right side
    2,978.32x = 8,405,875.59
  5. Step 5: Solve for x
    x = 8,405,875.59/2,978.32
  6. Step 6: Final answer
    x = 2,822.35

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