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Finding the Fourth Proportional to 1,461.30, 2,192.86 and 768.48

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Solution

The fourth proportional to 1,461.30, 2,192.86 and 768.48 is: 1,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.30 : 2,192.86 = 768.48 : x
  2. Step 2: Convert to fraction form
    1,461.30/2,192.86 = 768.48/x
  3. Step 3: Cross multiply
    1,461.30x = 2,192.86 × 768.48
  4. Step 4: Simplify right side
    1,461.30x = 1,685,169.05
  5. Step 5: Solve for x
    x = 1,685,169.05/1,461.30
  6. Step 6: Final answer
    x = 1,153.20

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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.