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Finding the Fourth Proportional to 2,500.44, 3,748.05 and 856.41

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Solution

The fourth proportional to 2,500.44, 3,748.05 and 856.41 is: 1,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.44 : 3,748.05 = 856.41 : x
  2. Step 2: Convert to fraction form
    2,500.44/3,748.05 = 856.41/x
  3. Step 3: Cross multiply
    2,500.44x = 3,748.05 × 856.41
  4. Step 4: Simplify right side
    2,500.44x = 3,209,867.50
  5. Step 5: Solve for x
    x = 3,209,867.50/2,500.44
  6. Step 6: Final answer
    x = 1,283.72

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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.