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Finding the Fourth Proportional to 1,646.63, 2,465.64 and 1,316.05

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Solution

The fourth proportional to 1,646.63, 2,465.64 and 1,316.05 is: 1,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.63 : 2,465.64 = 1,316.05 : x
  2. Step 2: Convert to fraction form
    1,646.63/2,465.64 = 1,316.05/x
  3. Step 3: Cross multiply
    1,646.63x = 2,465.64 × 1,316.05
  4. Step 4: Simplify right side
    1,646.63x = 3,244,899.36
  5. Step 5: Solve for x
    x = 3,244,899.36/1,646.63
  6. Step 6: Final answer
    x = 1,970.63

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