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Finding the Fourth Proportional to 2,499.75, 3,748.41 and 856.26

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Solution

The fourth proportional to 2,499.75, 3,748.41 and 856.26 is: 1,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.75 : 3,748.41 = 856.26 : x
  2. Step 2: Convert to fraction form
    2,499.75/3,748.41 = 856.26/x
  3. Step 3: Cross multiply
    2,499.75x = 3,748.41 × 856.26
  4. Step 4: Simplify right side
    2,499.75x = 3,209,613.55
  5. Step 5: Solve for x
    x = 3,209,613.55/2,499.75
  6. Step 6: Final answer
    x = 1,283.97

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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.