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Finding the Fourth Proportional to 3,021.15, 4,531.97 and 941.01

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Solution

The fourth proportional to 3,021.15, 4,531.97 and 941.01 is: 1,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.15 : 4,531.97 = 941.01 : x
  2. Step 2: Convert to fraction form
    3,021.15/4,531.97 = 941.01/x
  3. Step 3: Cross multiply
    3,021.15x = 4,531.97 × 941.01
  4. Step 4: Simplify right side
    3,021.15x = 4,264,629.09
  5. Step 5: Solve for x
    x = 4,264,629.09/3,021.15
  6. Step 6: Final answer
    x = 1,411.59

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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.