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Finding the Fourth Proportional to 2,500.35, 3,751.02 and 856.95

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Solution

The fourth proportional to 2,500.35, 3,751.02 and 856.95 is: 1,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.35 : 3,751.02 = 856.95 : x
  2. Step 2: Convert to fraction form
    2,500.35/3,751.02 = 856.95/x
  3. Step 3: Cross multiply
    2,500.35x = 3,751.02 × 856.95
  4. Step 4: Simplify right side
    2,500.35x = 3,214,436.59
  5. Step 5: Solve for x
    x = 3,214,436.59/2,500.35
  6. Step 6: Final answer
    x = 1,285.59

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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.