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Finding the Fourth Proportional to 1,689.42, 2,530.47 and 1,648.11

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Solution

The fourth proportional to 1,689.42, 2,530.47 and 1,648.11 is: 2,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.42 : 2,530.47 = 1,648.11 : x
  2. Step 2: Convert to fraction form
    1,689.42/2,530.47 = 1,648.11/x
  3. Step 3: Cross multiply
    1,689.42x = 2,530.47 × 1,648.11
  4. Step 4: Simplify right side
    1,689.42x = 4,170,492.91
  5. Step 5: Solve for x
    x = 4,170,492.91/1,689.42
  6. Step 6: Final answer
    x = 2,468.59

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