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Finding the Fourth Proportional to 2,500.74, 3,750.84 and 856.98

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Solution

The fourth proportional to 2,500.74, 3,750.84 and 856.98 is: 1,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.74 : 3,750.84 = 856.98 : x
  2. Step 2: Convert to fraction form
    2,500.74/3,750.84 = 856.98/x
  3. Step 3: Cross multiply
    2,500.74x = 3,750.84 × 856.98
  4. Step 4: Simplify right side
    2,500.74x = 3,214,394.86
  5. Step 5: Solve for x
    x = 3,214,394.86/2,500.74
  6. Step 6: Final answer
    x = 1,285.38

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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.