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Finding the Fourth Proportional to 2,476.54, 3,714.81 and 936.46

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Solution

The fourth proportional to 2,476.54, 3,714.81 and 936.46 is: 1,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.54 : 3,714.81 = 936.46 : x
  2. Step 2: Convert to fraction form
    2,476.54/3,714.81 = 936.46/x
  3. Step 3: Cross multiply
    2,476.54x = 3,714.81 × 936.46
  4. Step 4: Simplify right side
    2,476.54x = 3,478,770.97
  5. Step 5: Solve for x
    x = 3,478,770.97/2,476.54
  6. Step 6: Final answer
    x = 1,404.69

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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.