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Finding the Fourth Proportional to 1,970.74, 2,955.99 and 584.08

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Solution

The fourth proportional to 1,970.74, 2,955.99 and 584.08 is: 876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.74 : 2,955.99 = 584.08 : x
  2. Step 2: Convert to fraction form
    1,970.74/2,955.99 = 584.08/x
  3. Step 3: Cross multiply
    1,970.74x = 2,955.99 × 584.08
  4. Step 4: Simplify right side
    1,970.74x = 1,726,534.64
  5. Step 5: Solve for x
    x = 1,726,534.64/1,970.74
  6. Step 6: Final answer
    x = 876.08

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