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Finding the Fourth Proportional to 3,030, 4,546.14 and 978

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Solution

The fourth proportional to 3,030, 4,546.14 and 978 is: 1,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030 : 4,546.14 = 978 : x
  2. Step 2: Convert to fraction form
    3,030/4,546.14 = 978/x
  3. Step 3: Cross multiply
    3,030x = 4,546.14 × 978
  4. Step 4: Simplify right side
    3,030x = 4,446,124.92
  5. Step 5: Solve for x
    x = 4,446,124.92/3,030
  6. Step 6: Final answer
    x = 1,467.37

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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.