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Finding the Fourth Proportional to 3,119.56, 4,304.94 and 1,703.20

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Solution

The fourth proportional to 3,119.56, 4,304.94 and 1,703.20 is: 2,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.56 : 4,304.94 = 1,703.20 : x
  2. Step 2: Convert to fraction form
    3,119.56/4,304.94 = 1,703.20/x
  3. Step 3: Cross multiply
    3,119.56x = 4,304.94 × 1,703.20
  4. Step 4: Simplify right side
    3,119.56x = 7,332,173.81
  5. Step 5: Solve for x
    x = 7,332,173.81/3,119.56
  6. Step 6: Final answer
    x = 2,350.39

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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.