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Finding the Fourth Proportional to 3,078.96, 4,249.08 and 1,681.72

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Solution

The fourth proportional to 3,078.96, 4,249.08 and 1,681.72 is: 2,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.96 : 4,249.08 = 1,681.72 : x
  2. Step 2: Convert to fraction form
    3,078.96/4,249.08 = 1,681.72/x
  3. Step 3: Cross multiply
    3,078.96x = 4,249.08 × 1,681.72
  4. Step 4: Simplify right side
    3,078.96x = 7,145,762.82
  5. Step 5: Solve for x
    x = 7,145,762.82/3,078.96
  6. Step 6: Final answer
    x = 2,320.84

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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.