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Finding the Fourth Proportional to 2,733.34, 4,100.08 and 859.42

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Solution

The fourth proportional to 2,733.34, 4,100.08 and 859.42 is: 1,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.34 : 4,100.08 = 859.42 : x
  2. Step 2: Convert to fraction form
    2,733.34/4,100.08 = 859.42/x
  3. Step 3: Cross multiply
    2,733.34x = 4,100.08 × 859.42
  4. Step 4: Simplify right side
    2,733.34x = 3,523,690.75
  5. Step 5: Solve for x
    x = 3,523,690.75/2,733.34
  6. Step 6: Final answer
    x = 1,289.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.