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Finding the Fourth Proportional to 3,154.92, 4,351.98 and 1,973.94

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Solution

The fourth proportional to 3,154.92, 4,351.98 and 1,973.94 is: 2,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.92 : 4,351.98 = 1,973.94 : x
  2. Step 2: Convert to fraction form
    3,154.92/4,351.98 = 1,973.94/x
  3. Step 3: Cross multiply
    3,154.92x = 4,351.98 × 1,973.94
  4. Step 4: Simplify right side
    3,154.92x = 8,590,527.38
  5. Step 5: Solve for x
    x = 8,590,527.38/3,154.92
  6. Step 6: Final answer
    x = 2,722.90

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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.