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Finding the Fourth Proportional to 2,325.96, 3,515.31 and 2,285.64

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Solution

The fourth proportional to 2,325.96, 3,515.31 and 2,285.64 is: 3,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.96 : 3,515.31 = 2,285.64 : x
  2. Step 2: Convert to fraction form
    2,325.96/3,515.31 = 2,285.64/x
  3. Step 3: Cross multiply
    2,325.96x = 3,515.31 × 2,285.64
  4. Step 4: Simplify right side
    2,325.96x = 8,034,733.15
  5. Step 5: Solve for x
    x = 8,034,733.15/2,325.96
  6. Step 6: Final answer
    x = 3,454.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.