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Finding the Fourth Proportional to 3,290.98, 4,938.28 and 1,830.94

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Solution

The fourth proportional to 3,290.98, 4,938.28 and 1,830.94 is: 2,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.98 : 4,938.28 = 1,830.94 : x
  2. Step 2: Convert to fraction form
    3,290.98/4,938.28 = 1,830.94/x
  3. Step 3: Cross multiply
    3,290.98x = 4,938.28 × 1,830.94
  4. Step 4: Simplify right side
    3,290.98x = 9,041,694.38
  5. Step 5: Solve for x
    x = 9,041,694.38/3,290.98
  6. Step 6: Final answer
    x = 2,747.42

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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.