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Finding the Fourth Proportional to 3,018.80, 4,528.04 and 827.37

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Solution

The fourth proportional to 3,018.80, 4,528.04 and 827.37 is: 1,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.80 : 4,528.04 = 827.37 : x
  2. Step 2: Convert to fraction form
    3,018.80/4,528.04 = 827.37/x
  3. Step 3: Cross multiply
    3,018.80x = 4,528.04 × 827.37
  4. Step 4: Simplify right side
    3,018.80x = 3,746,360.32
  5. Step 5: Solve for x
    x = 3,746,360.32/3,018.80
  6. Step 6: Final answer
    x = 1,241.01

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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.