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Finding the Fourth Proportional to 2,500.97, 3,749.06 and 856.35

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Solution

The fourth proportional to 2,500.97, 3,749.06 and 856.35 is: 1,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.97 : 3,749.06 = 856.35 : x
  2. Step 2: Convert to fraction form
    2,500.97/3,749.06 = 856.35/x
  3. Step 3: Cross multiply
    2,500.97x = 3,749.06 × 856.35
  4. Step 4: Simplify right side
    2,500.97x = 3,210,503.25
  5. Step 5: Solve for x
    x = 3,210,503.25/2,500.97
  6. Step 6: Final answer
    x = 1,283.71

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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.