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Finding the Fourth Proportional to 4,605.05, 6,902.44 and 1,830.98

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Solution

The fourth proportional to 4,605.05, 6,902.44 and 1,830.98 is: 2,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.05 : 6,902.44 = 1,830.98 : x
  2. Step 2: Convert to fraction form
    4,605.05/6,902.44 = 1,830.98/x
  3. Step 3: Cross multiply
    4,605.05x = 6,902.44 × 1,830.98
  4. Step 4: Simplify right side
    4,605.05x = 12,638,190.50
  5. Step 5: Solve for x
    x = 12,638,190.50/4,605.05
  6. Step 6: Final answer
    x = 2,744.42

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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.