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Finding the Fourth Proportional to 2,664.74, 3,996.51 and 1,495.27

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Solution

The fourth proportional to 2,664.74, 3,996.51 and 1,495.27 is: 2,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.74 : 3,996.51 = 1,495.27 : x
  2. Step 2: Convert to fraction form
    2,664.74/3,996.51 = 1,495.27/x
  3. Step 3: Cross multiply
    2,664.74x = 3,996.51 × 1,495.27
  4. Step 4: Simplify right side
    2,664.74x = 5,975,853.84
  5. Step 5: Solve for x
    x = 5,975,853.84/2,664.74
  6. Step 6: Final answer
    x = 2,242.56

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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.