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Finding the Fourth Proportional to 2,577.53, 3,866.95 and 1,407.22

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Solution

The fourth proportional to 2,577.53, 3,866.95 and 1,407.22 is: 2,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.53 : 3,866.95 = 1,407.22 : x
  2. Step 2: Convert to fraction form
    2,577.53/3,866.95 = 1,407.22/x
  3. Step 3: Cross multiply
    2,577.53x = 3,866.95 × 1,407.22
  4. Step 4: Simplify right side
    2,577.53x = 5,441,649.38
  5. Step 5: Solve for x
    x = 5,441,649.38/2,577.53
  6. Step 6: Final answer
    x = 2,111.19

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