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Finding the Fourth Proportional to 3,108.69, 4,289.97 and 1,782.51

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Solution

The fourth proportional to 3,108.69, 4,289.97 and 1,782.51 is: 2,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.69 : 4,289.97 = 1,782.51 : x
  2. Step 2: Convert to fraction form
    3,108.69/4,289.97 = 1,782.51/x
  3. Step 3: Cross multiply
    3,108.69x = 4,289.97 × 1,782.51
  4. Step 4: Simplify right side
    3,108.69x = 7,646,914.42
  5. Step 5: Solve for x
    x = 7,646,914.42/3,108.69
  6. Step 6: Final answer
    x = 2,459.85

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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.