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Finding the Fourth Proportional to 2,075.34, 3,111.52 and 978.63

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Solution

The fourth proportional to 2,075.34, 3,111.52 and 978.63 is: 1,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.34 : 3,111.52 = 978.63 : x
  2. Step 2: Convert to fraction form
    2,075.34/3,111.52 = 978.63/x
  3. Step 3: Cross multiply
    2,075.34x = 3,111.52 × 978.63
  4. Step 4: Simplify right side
    2,075.34x = 3,045,026.82
  5. Step 5: Solve for x
    x = 3,045,026.82/2,075.34
  6. Step 6: Final answer
    x = 1,467.24

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