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Finding the Fourth Proportional to 4,654.90, 6,982.38 and 1,367.98

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Solution

The fourth proportional to 4,654.90, 6,982.38 and 1,367.98 is: 2,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.90 : 6,982.38 = 1,367.98 : x
  2. Step 2: Convert to fraction form
    4,654.90/6,982.38 = 1,367.98/x
  3. Step 3: Cross multiply
    4,654.90x = 6,982.38 × 1,367.98
  4. Step 4: Simplify right side
    4,654.90x = 9,551,756.19
  5. Step 5: Solve for x
    x = 9,551,756.19/4,654.90
  6. Step 6: Final answer
    x = 2,051.98

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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.