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Finding the Fourth Proportional to 1,348.82, 2,021.06 and 886.24

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Solution

The fourth proportional to 1,348.82, 2,021.06 and 886.24 is: 1,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.82 : 2,021.06 = 886.24 : x
  2. Step 2: Convert to fraction form
    1,348.82/2,021.06 = 886.24/x
  3. Step 3: Cross multiply
    1,348.82x = 2,021.06 × 886.24
  4. Step 4: Simplify right side
    1,348.82x = 1,791,144.21
  5. Step 5: Solve for x
    x = 1,791,144.21/1,348.82
  6. Step 6: Final answer
    x = 1,327.93

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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.