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Finding the Fourth Proportional to 4,782.65, 7,173.43 and 1,319.63

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Solution

The fourth proportional to 4,782.65, 7,173.43 and 1,319.63 is: 1,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.65 : 7,173.43 = 1,319.63 : x
  2. Step 2: Convert to fraction form
    4,782.65/7,173.43 = 1,319.63/x
  3. Step 3: Cross multiply
    4,782.65x = 7,173.43 × 1,319.63
  4. Step 4: Simplify right side
    4,782.65x = 9,466,234.26
  5. Step 5: Solve for x
    x = 9,466,234.26/4,782.65
  6. Step 6: Final answer
    x = 1,979.29

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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.