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Finding the Fourth Proportional to 1,469.36, 2,204.54 and 920.89

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Solution

The fourth proportional to 1,469.36, 2,204.54 and 920.89 is: 1,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.36 : 2,204.54 = 920.89 : x
  2. Step 2: Convert to fraction form
    1,469.36/2,204.54 = 920.89/x
  3. Step 3: Cross multiply
    1,469.36x = 2,204.54 × 920.89
  4. Step 4: Simplify right side
    1,469.36x = 2,030,130.63
  5. Step 5: Solve for x
    x = 2,030,130.63/1,469.36
  6. Step 6: Final answer
    x = 1,381.65

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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.