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Finding the Fourth Proportional to 1,427.39, 2,141.06 and 657.89

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Solution

The fourth proportional to 1,427.39, 2,141.06 and 657.89 is: 986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.39 : 2,141.06 = 657.89 : x
  2. Step 2: Convert to fraction form
    1,427.39/2,141.06 = 657.89/x
  3. Step 3: Cross multiply
    1,427.39x = 2,141.06 × 657.89
  4. Step 4: Simplify right side
    1,427.39x = 1,408,589.99
  5. Step 5: Solve for x
    x = 1,408,589.99/1,427.39
  6. Step 6: Final answer
    x = 986.83

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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.