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Finding the Fourth Proportional to 3,161.78, 4,743.72 and 1,316.48

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Solution

The fourth proportional to 3,161.78, 4,743.72 and 1,316.48 is: 1,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.78 : 4,743.72 = 1,316.48 : x
  2. Step 2: Convert to fraction form
    3,161.78/4,743.72 = 1,316.48/x
  3. Step 3: Cross multiply
    3,161.78x = 4,743.72 × 1,316.48
  4. Step 4: Simplify right side
    3,161.78x = 6,245,012.51
  5. Step 5: Solve for x
    x = 6,245,012.51/3,161.78
  6. Step 6: Final answer
    x = 1,975.16

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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.