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Finding the Fourth Proportional to 3,045.24, 4,202.42 and 1,719.38

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Solution

The fourth proportional to 3,045.24, 4,202.42 and 1,719.38 is: 2,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.24 : 4,202.42 = 1,719.38 : x
  2. Step 2: Convert to fraction form
    3,045.24/4,202.42 = 1,719.38/x
  3. Step 3: Cross multiply
    3,045.24x = 4,202.42 × 1,719.38
  4. Step 4: Simplify right side
    3,045.24x = 7,225,527.29
  5. Step 5: Solve for x
    x = 7,225,527.29/3,045.24
  6. Step 6: Final answer
    x = 2,372.73

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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.