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Finding the Fourth Proportional to 3,326.47, 4,992.77 and 1,684.16

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Solution

The fourth proportional to 3,326.47, 4,992.77 and 1,684.16 is: 2,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.47 : 4,992.77 = 1,684.16 : x
  2. Step 2: Convert to fraction form
    3,326.47/4,992.77 = 1,684.16/x
  3. Step 3: Cross multiply
    3,326.47x = 4,992.77 × 1,684.16
  4. Step 4: Simplify right side
    3,326.47x = 8,408,649.58
  5. Step 5: Solve for x
    x = 8,408,649.58/3,326.47
  6. Step 6: Final answer
    x = 2,527.80

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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.