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Finding the Fourth Proportional to 3,293.95, 4,933.01 and 1,884.10

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Solution

The fourth proportional to 3,293.95, 4,933.01 and 1,884.10 is: 2,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.95 : 4,933.01 = 1,884.10 : x
  2. Step 2: Convert to fraction form
    3,293.95/4,933.01 = 1,884.10/x
  3. Step 3: Cross multiply
    3,293.95x = 4,933.01 × 1,884.10
  4. Step 4: Simplify right side
    3,293.95x = 9,294,283.62
  5. Step 5: Solve for x
    x = 9,294,283.62/3,293.95
  6. Step 6: Final answer
    x = 2,821.62

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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.