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Finding the Fourth Proportional to 1,946.72, 2,685.71 and 1,199.38

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Solution

The fourth proportional to 1,946.72, 2,685.71 and 1,199.38 is: 1,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.72 : 2,685.71 = 1,199.38 : x
  2. Step 2: Convert to fraction form
    1,946.72/2,685.71 = 1,199.38/x
  3. Step 3: Cross multiply
    1,946.72x = 2,685.71 × 1,199.38
  4. Step 4: Simplify right side
    1,946.72x = 3,221,186.86
  5. Step 5: Solve for x
    x = 3,221,186.86/1,946.72
  6. Step 6: Final answer
    x = 1,654.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.