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Finding the Fourth Proportional to 1,470.40, 2,204.64 and 1,316.80

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Solution

The fourth proportional to 1,470.40, 2,204.64 and 1,316.80 is: 1,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.40 : 2,204.64 = 1,316.80 : x
  2. Step 2: Convert to fraction form
    1,470.40/2,204.64 = 1,316.80/x
  3. Step 3: Cross multiply
    1,470.40x = 2,204.64 × 1,316.80
  4. Step 4: Simplify right side
    1,470.40x = 2,903,069.95
  5. Step 5: Solve for x
    x = 2,903,069.95/1,470.40
  6. Step 6: Final answer
    x = 1,974.34

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