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Finding the Fourth Proportional to 3,133.50, 4,699.09 and 941.49

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Solution

The fourth proportional to 3,133.50, 4,699.09 and 941.49 is: 1,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.50 : 4,699.09 = 941.49 : x
  2. Step 2: Convert to fraction form
    3,133.50/4,699.09 = 941.49/x
  3. Step 3: Cross multiply
    3,133.50x = 4,699.09 × 941.49
  4. Step 4: Simplify right side
    3,133.50x = 4,424,146.24
  5. Step 5: Solve for x
    x = 4,424,146.24/3,133.50
  6. Step 6: Final answer
    x = 1,411.89

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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.