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Finding the Fourth Proportional to 1,604.61, 2,214.54 and 941.63

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Solution

The fourth proportional to 1,604.61, 2,214.54 and 941.63 is: 1,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.61 : 2,214.54 = 941.63 : x
  2. Step 2: Convert to fraction form
    1,604.61/2,214.54 = 941.63/x
  3. Step 3: Cross multiply
    1,604.61x = 2,214.54 × 941.63
  4. Step 4: Simplify right side
    1,604.61x = 2,085,266.23
  5. Step 5: Solve for x
    x = 2,085,266.23/1,604.61
  6. Step 6: Final answer
    x = 1,299.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.