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Finding the Fourth Proportional to 1,648.14, 2,471.04 and 825.84

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Solution

The fourth proportional to 1,648.14, 2,471.04 and 825.84 is: 1,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.14 : 2,471.04 = 825.84 : x
  2. Step 2: Convert to fraction form
    1,648.14/2,471.04 = 825.84/x
  3. Step 3: Cross multiply
    1,648.14x = 2,471.04 × 825.84
  4. Step 4: Simplify right side
    1,648.14x = 2,040,683.67
  5. Step 5: Solve for x
    x = 2,040,683.67/1,648.14
  6. Step 6: Final answer
    x = 1,238.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.