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Finding the Fourth Proportional to 1,811.85, 2,500.34 and 1,025.97

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Solution

The fourth proportional to 1,811.85, 2,500.34 and 1,025.97 is: 1,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.85 : 2,500.34 = 1,025.97 : x
  2. Step 2: Convert to fraction form
    1,811.85/2,500.34 = 1,025.97/x
  3. Step 3: Cross multiply
    1,811.85x = 2,500.34 × 1,025.97
  4. Step 4: Simplify right side
    1,811.85x = 2,565,273.83
  5. Step 5: Solve for x
    x = 2,565,273.83/1,811.85
  6. Step 6: Final answer
    x = 1,415.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.