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Finding the Fourth Proportional to 1,536, 2,299.80 and 1,074.24

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Solution

The fourth proportional to 1,536, 2,299.80 and 1,074.24 is: 1,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536 : 2,299.80 = 1,074.24 : x
  2. Step 2: Convert to fraction form
    1,536/2,299.80 = 1,074.24/x
  3. Step 3: Cross multiply
    1,536x = 2,299.80 × 1,074.24
  4. Step 4: Simplify right side
    1,536x = 2,470,537.15
  5. Step 5: Solve for x
    x = 2,470,537.15/1,536
  6. Step 6: Final answer
    x = 1,608.42

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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.