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Finding the Fourth Proportional to 1,461.34, 2,192.45 and 617.44

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Solution

The fourth proportional to 1,461.34, 2,192.45 and 617.44 is: 926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.34 : 2,192.45 = 617.44 : x
  2. Step 2: Convert to fraction form
    1,461.34/2,192.45 = 617.44/x
  3. Step 3: Cross multiply
    1,461.34x = 2,192.45 × 617.44
  4. Step 4: Simplify right side
    1,461.34x = 1,353,706.33
  5. Step 5: Solve for x
    x = 1,353,706.33/1,461.34
  6. Step 6: Final answer
    x = 926.35

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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.