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Finding the Fourth Proportional to 1,978.65, 2,969.01 and 1,435.32

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Solution

The fourth proportional to 1,978.65, 2,969.01 and 1,435.32 is: 2,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.65 : 2,969.01 = 1,435.32 : x
  2. Step 2: Convert to fraction form
    1,978.65/2,969.01 = 1,435.32/x
  3. Step 3: Cross multiply
    1,978.65x = 2,969.01 × 1,435.32
  4. Step 4: Simplify right side
    1,978.65x = 4,261,457.41
  5. Step 5: Solve for x
    x = 4,261,457.41/1,978.65
  6. Step 6: Final answer
    x = 2,153.72

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