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Finding the Fourth Proportional to 4,782.42, 7,173.54 and 1,319.76

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Solution

The fourth proportional to 4,782.42, 7,173.54 and 1,319.76 is: 1,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.42 : 7,173.54 = 1,319.76 : x
  2. Step 2: Convert to fraction form
    4,782.42/7,173.54 = 1,319.76/x
  3. Step 3: Cross multiply
    4,782.42x = 7,173.54 × 1,319.76
  4. Step 4: Simplify right side
    4,782.42x = 9,467,351.15
  5. Step 5: Solve for x
    x = 9,467,351.15/4,782.42
  6. Step 6: Final answer
    x = 1,979.62

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