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Finding the Fourth Proportional to 1,762.75, 2,433.51 and 1,204

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Solution

The fourth proportional to 1,762.75, 2,433.51 and 1,204 is: 1,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.75 : 2,433.51 = 1,204 : x
  2. Step 2: Convert to fraction form
    1,762.75/2,433.51 = 1,204/x
  3. Step 3: Cross multiply
    1,762.75x = 2,433.51 × 1,204
  4. Step 4: Simplify right side
    1,762.75x = 2,929,946.04
  5. Step 5: Solve for x
    x = 2,929,946.04/1,762.75
  6. Step 6: Final answer
    x = 1,662.14

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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.