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Finding the Fourth Proportional to 3,028.13, 4,541.49 and 837.02

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Solution

The fourth proportional to 3,028.13, 4,541.49 and 837.02 is: 1,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.13 : 4,541.49 = 837.02 : x
  2. Step 2: Convert to fraction form
    3,028.13/4,541.49 = 837.02/x
  3. Step 3: Cross multiply
    3,028.13x = 4,541.49 × 837.02
  4. Step 4: Simplify right side
    3,028.13x = 3,801,317.96
  5. Step 5: Solve for x
    x = 3,801,317.96/3,028.13
  6. Step 6: Final answer
    x = 1,255.34

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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.