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Finding the Fourth Proportional to 1,604.66, 2,402.34 and 986.49

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Solution

The fourth proportional to 1,604.66, 2,402.34 and 986.49 is: 1,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.66 : 2,402.34 = 986.49 : x
  2. Step 2: Convert to fraction form
    1,604.66/2,402.34 = 986.49/x
  3. Step 3: Cross multiply
    1,604.66x = 2,402.34 × 986.49
  4. Step 4: Simplify right side
    1,604.66x = 2,369,884.39
  5. Step 5: Solve for x
    x = 2,369,884.39/1,604.66
  6. Step 6: Final answer
    x = 1,476.88

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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.