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Finding the Fourth Proportional to 2,411.70, 3,615.12 and 851.22

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Solution

The fourth proportional to 2,411.70, 3,615.12 and 851.22 is: 1,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.70 : 3,615.12 = 851.22 : x
  2. Step 2: Convert to fraction form
    2,411.70/3,615.12 = 851.22/x
  3. Step 3: Cross multiply
    2,411.70x = 3,615.12 × 851.22
  4. Step 4: Simplify right side
    2,411.70x = 3,077,262.45
  5. Step 5: Solve for x
    x = 3,077,262.45/2,411.70
  6. Step 6: Final answer
    x = 1,275.97

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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.