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Finding the Fourth Proportional to 1,461.89, 2,194 and 768.96

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Solution

The fourth proportional to 1,461.89, 2,194 and 768.96 is: 1,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.89 : 2,194 = 768.96 : x
  2. Step 2: Convert to fraction form
    1,461.89/2,194 = 768.96/x
  3. Step 3: Cross multiply
    1,461.89x = 2,194 × 768.96
  4. Step 4: Simplify right side
    1,461.89x = 1,687,098.24
  5. Step 5: Solve for x
    x = 1,687,098.24/1,461.89
  6. Step 6: Final answer
    x = 1,154.05

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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.