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Finding the Fourth Proportional to 2,959.44, 4,408.14 and 2,809.68

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Solution

The fourth proportional to 2,959.44, 4,408.14 and 2,809.68 is: 4,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.44 : 4,408.14 = 2,809.68 : x
  2. Step 2: Convert to fraction form
    2,959.44/4,408.14 = 2,809.68/x
  3. Step 3: Cross multiply
    2,959.44x = 4,408.14 × 2,809.68
  4. Step 4: Simplify right side
    2,959.44x = 12,385,462.80
  5. Step 5: Solve for x
    x = 12,385,462.80/2,959.44
  6. Step 6: Final answer
    x = 4,185.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.