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Finding the Fourth Proportional to 1,684.36, 2,522.54 and 902.44

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Solution

The fourth proportional to 1,684.36, 2,522.54 and 902.44 is: 1,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.36 : 2,522.54 = 902.44 : x
  2. Step 2: Convert to fraction form
    1,684.36/2,522.54 = 902.44/x
  3. Step 3: Cross multiply
    1,684.36x = 2,522.54 × 902.44
  4. Step 4: Simplify right side
    1,684.36x = 2,276,446.41
  5. Step 5: Solve for x
    x = 2,276,446.41/1,684.36
  6. Step 6: Final answer
    x = 1,351.52

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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.