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Finding the Fourth Proportional to 1,614.36, 2,422.51 and 792.72

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Solution

The fourth proportional to 1,614.36, 2,422.51 and 792.72 is: 1,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.36 : 2,422.51 = 792.72 : x
  2. Step 2: Convert to fraction form
    1,614.36/2,422.51 = 792.72/x
  3. Step 3: Cross multiply
    1,614.36x = 2,422.51 × 792.72
  4. Step 4: Simplify right side
    1,614.36x = 1,920,370.15
  5. Step 5: Solve for x
    x = 1,920,370.15/1,614.36
  6. Step 6: Final answer
    x = 1,189.55

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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.