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Finding the Fourth Proportional to 1,838.94, 2,758.44 and 606.48

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Solution

The fourth proportional to 1,838.94, 2,758.44 and 606.48 is: 909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.94 : 2,758.44 = 606.48 : x
  2. Step 2: Convert to fraction form
    1,838.94/2,758.44 = 606.48/x
  3. Step 3: Cross multiply
    1,838.94x = 2,758.44 × 606.48
  4. Step 4: Simplify right side
    1,838.94x = 1,672,938.69
  5. Step 5: Solve for x
    x = 1,672,938.69/1,838.94
  6. Step 6: Final answer
    x = 909.73

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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.