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Finding the Fourth Proportional to 4,202.76, 6,304.19 and 1,429.49

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Solution

The fourth proportional to 4,202.76, 6,304.19 and 1,429.49 is: 2,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.76 : 6,304.19 = 1,429.49 : x
  2. Step 2: Convert to fraction form
    4,202.76/6,304.19 = 1,429.49/x
  3. Step 3: Cross multiply
    4,202.76x = 6,304.19 × 1,429.49
  4. Step 4: Simplify right side
    4,202.76x = 9,011,776.56
  5. Step 5: Solve for x
    x = 9,011,776.56/4,202.76
  6. Step 6: Final answer
    x = 2,144.25

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1.5x scale

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.