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Finding the Fourth Proportional to 1,523.82, 2,102.36 and 860.42

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Solution

The fourth proportional to 1,523.82, 2,102.36 and 860.42 is: 1,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.82 : 2,102.36 = 860.42 : x
  2. Step 2: Convert to fraction form
    1,523.82/2,102.36 = 860.42/x
  3. Step 3: Cross multiply
    1,523.82x = 2,102.36 × 860.42
  4. Step 4: Simplify right side
    1,523.82x = 1,808,912.59
  5. Step 5: Solve for x
    x = 1,808,912.59/1,523.82
  6. Step 6: Final answer
    x = 1,187.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.