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Finding the Fourth Proportional to 2,706.94, 4,057.17 and 1,665.28

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Solution

The fourth proportional to 2,706.94, 4,057.17 and 1,665.28 is: 2,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.94 : 4,057.17 = 1,665.28 : x
  2. Step 2: Convert to fraction form
    2,706.94/4,057.17 = 1,665.28/x
  3. Step 3: Cross multiply
    2,706.94x = 4,057.17 × 1,665.28
  4. Step 4: Simplify right side
    2,706.94x = 6,756,324.06
  5. Step 5: Solve for x
    x = 6,756,324.06/2,706.94
  6. Step 6: Final answer
    x = 2,495.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.