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Finding the Fourth Proportional to 2,153.22, 3,229.74 and 692.34

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Solution

The fourth proportional to 2,153.22, 3,229.74 and 692.34 is: 1,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.22 : 3,229.74 = 692.34 : x
  2. Step 2: Convert to fraction form
    2,153.22/3,229.74 = 692.34/x
  3. Step 3: Cross multiply
    2,153.22x = 3,229.74 × 692.34
  4. Step 4: Simplify right side
    2,153.22x = 2,236,078.19
  5. Step 5: Solve for x
    x = 2,236,078.19/2,153.22
  6. Step 6: Final answer
    x = 1,038.48

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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.