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Finding the Fourth Proportional to 1,346.31, 2,019.42 and 372.42

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Solution

The fourth proportional to 1,346.31, 2,019.42 and 372.42 is: 558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.31 : 2,019.42 = 372.42 : x
  2. Step 2: Convert to fraction form
    1,346.31/2,019.42 = 372.42/x
  3. Step 3: Cross multiply
    1,346.31x = 2,019.42 × 372.42
  4. Step 4: Simplify right side
    1,346.31x = 752,072.40
  5. Step 5: Solve for x
    x = 752,072.40/1,346.31
  6. Step 6: Final answer
    x = 558.62

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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.