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Finding the Fourth Proportional to 2,478.44, 3,416.10 and 1,979.48

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Solution

The fourth proportional to 2,478.44, 3,416.10 and 1,979.48 is: 2,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.44 : 3,416.10 = 1,979.48 : x
  2. Step 2: Convert to fraction form
    2,478.44/3,416.10 = 1,979.48/x
  3. Step 3: Cross multiply
    2,478.44x = 3,416.10 × 1,979.48
  4. Step 4: Simplify right side
    2,478.44x = 6,762,101.63
  5. Step 5: Solve for x
    x = 6,762,101.63/2,478.44
  6. Step 6: Final answer
    x = 2,728.37

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