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Finding the Fourth Proportional to 1,347.96, 2,019.01 and 826.38

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Solution

The fourth proportional to 1,347.96, 2,019.01 and 826.38 is: 1,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.96 : 2,019.01 = 826.38 : x
  2. Step 2: Convert to fraction form
    1,347.96/2,019.01 = 826.38/x
  3. Step 3: Cross multiply
    1,347.96x = 2,019.01 × 826.38
  4. Step 4: Simplify right side
    1,347.96x = 1,668,469.48
  5. Step 5: Solve for x
    x = 1,668,469.48/1,347.96
  6. Step 6: Final answer
    x = 1,237.77

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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.