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Finding the Fourth Proportional to 3,005.06, 4,145.85 and 1,826.10

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Solution

The fourth proportional to 3,005.06, 4,145.85 and 1,826.10 is: 2,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.06 : 4,145.85 = 1,826.10 : x
  2. Step 2: Convert to fraction form
    3,005.06/4,145.85 = 1,826.10/x
  3. Step 3: Cross multiply
    3,005.06x = 4,145.85 × 1,826.10
  4. Step 4: Simplify right side
    3,005.06x = 7,570,736.69
  5. Step 5: Solve for x
    x = 7,570,736.69/3,005.06
  6. Step 6: Final answer
    x = 2,519.33

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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.