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Finding the Fourth Proportional to 3,160.92, 4,743.48 and 1,313.64

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Solution

The fourth proportional to 3,160.92, 4,743.48 and 1,313.64 is: 1,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.92 : 4,743.48 = 1,313.64 : x
  2. Step 2: Convert to fraction form
    3,160.92/4,743.48 = 1,313.64/x
  3. Step 3: Cross multiply
    3,160.92x = 4,743.48 × 1,313.64
  4. Step 4: Simplify right side
    3,160.92x = 6,231,225.07
  5. Step 5: Solve for x
    x = 6,231,225.07/3,160.92
  6. Step 6: Final answer
    x = 1,971.33

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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.