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Finding the Fourth Proportional to 3,084, 4,256.01 and 1,686.84

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Solution

The fourth proportional to 3,084, 4,256.01 and 1,686.84 is: 2,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084 : 4,256.01 = 1,686.84 : x
  2. Step 2: Convert to fraction form
    3,084/4,256.01 = 1,686.84/x
  3. Step 3: Cross multiply
    3,084x = 4,256.01 × 1,686.84
  4. Step 4: Simplify right side
    3,084x = 7,179,207.91
  5. Step 5: Solve for x
    x = 7,179,207.91/3,084
  6. Step 6: Final answer
    x = 2,327.89

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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.