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Finding the Fourth Proportional to 2,933.42, 4,406.60 and 2,285.42

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Solution

The fourth proportional to 2,933.42, 4,406.60 and 2,285.42 is: 3,433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.42 : 4,406.60 = 2,285.42 : x
  2. Step 2: Convert to fraction form
    2,933.42/4,406.60 = 2,285.42/x
  3. Step 3: Cross multiply
    2,933.42x = 4,406.60 × 2,285.42
  4. Step 4: Simplify right side
    2,933.42x = 10,070,915.45
  5. Step 5: Solve for x
    x = 10,070,915.45/2,933.42
  6. Step 6: Final answer
    x = 3,433.17

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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.