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Finding the Fourth Proportional to 1,987.04, 2,742.16 and 1,102.82

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Solution

The fourth proportional to 1,987.04, 2,742.16 and 1,102.82 is: 1,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.04 : 2,742.16 = 1,102.82 : x
  2. Step 2: Convert to fraction form
    1,987.04/2,742.16 = 1,102.82/x
  3. Step 3: Cross multiply
    1,987.04x = 2,742.16 × 1,102.82
  4. Step 4: Simplify right side
    1,987.04x = 3,024,108.89
  5. Step 5: Solve for x
    x = 3,024,108.89/1,987.04
  6. Step 6: Final answer
    x = 1,521.92

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