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Finding the Fourth Proportional to 1,293.30, 1,939.92 and 319.40

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Solution

The fourth proportional to 1,293.30, 1,939.92 and 319.40 is: 479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.30 : 1,939.92 = 319.40 : x
  2. Step 2: Convert to fraction form
    1,293.30/1,939.92 = 319.40/x
  3. Step 3: Cross multiply
    1,293.30x = 1,939.92 × 319.40
  4. Step 4: Simplify right side
    1,293.30x = 619,611.25
  5. Step 5: Solve for x
    x = 619,611.25/1,293.30
  6. Step 6: Final answer
    x = 479.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.