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Finding the Fourth Proportional to 3,021.64, 4,531.17 and 941.14

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Solution

The fourth proportional to 3,021.64, 4,531.17 and 941.14 is: 1,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.64 : 4,531.17 = 941.14 : x
  2. Step 2: Convert to fraction form
    3,021.64/4,531.17 = 941.14/x
  3. Step 3: Cross multiply
    3,021.64x = 4,531.17 × 941.14
  4. Step 4: Simplify right side
    3,021.64x = 4,264,465.33
  5. Step 5: Solve for x
    x = 4,264,465.33/3,021.64
  6. Step 6: Final answer
    x = 1,411.31

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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.