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Finding the Fourth Proportional to 3,050, 4,209.96 and 1,946

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Solution

The fourth proportional to 3,050, 4,209.96 and 1,946 is: 2,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050 : 4,209.96 = 1,946 : x
  2. Step 2: Convert to fraction form
    3,050/4,209.96 = 1,946/x
  3. Step 3: Cross multiply
    3,050x = 4,209.96 × 1,946
  4. Step 4: Simplify right side
    3,050x = 8,192,582.16
  5. Step 5: Solve for x
    x = 8,192,582.16/3,050
  6. Step 6: Final answer
    x = 2,686.09

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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.