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Finding the Fourth Proportional to 1,421.91, 1,962.33 and 792.43

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Solution

The fourth proportional to 1,421.91, 1,962.33 and 792.43 is: 1,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.91 : 1,962.33 = 792.43 : x
  2. Step 2: Convert to fraction form
    1,421.91/1,962.33 = 792.43/x
  3. Step 3: Cross multiply
    1,421.91x = 1,962.33 × 792.43
  4. Step 4: Simplify right side
    1,421.91x = 1,555,009.16
  5. Step 5: Solve for x
    x = 1,555,009.16/1,421.91
  6. Step 6: Final answer
    x = 1,093.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.