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Finding the Fourth Proportional to 2,312.67, 3,471.45 and 2,260.44

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Solution

The fourth proportional to 2,312.67, 3,471.45 and 2,260.44 is: 3,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.67 : 3,471.45 = 2,260.44 : x
  2. Step 2: Convert to fraction form
    2,312.67/3,471.45 = 2,260.44/x
  3. Step 3: Cross multiply
    2,312.67x = 3,471.45 × 2,260.44
  4. Step 4: Simplify right side
    2,312.67x = 7,847,004.44
  5. Step 5: Solve for x
    x = 7,847,004.44/2,312.67
  6. Step 6: Final answer
    x = 3,393.05

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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.