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Finding the Fourth Proportional to 3,018.13, 4,526.49 and 827.02

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Solution

The fourth proportional to 3,018.13, 4,526.49 and 827.02 is: 1,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.13 : 4,526.49 = 827.02 : x
  2. Step 2: Convert to fraction form
    3,018.13/4,526.49 = 827.02/x
  3. Step 3: Cross multiply
    3,018.13x = 4,526.49 × 827.02
  4. Step 4: Simplify right side
    3,018.13x = 3,743,497.76
  5. Step 5: Solve for x
    x = 3,743,497.76/3,018.13
  6. Step 6: Final answer
    x = 1,240.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.