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Finding the Fourth Proportional to 1,386.05, 1,912.77 and 826.84

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Solution

The fourth proportional to 1,386.05, 1,912.77 and 826.84 is: 1,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.05 : 1,912.77 = 826.84 : x
  2. Step 2: Convert to fraction form
    1,386.05/1,912.77 = 826.84/x
  3. Step 3: Cross multiply
    1,386.05x = 1,912.77 × 826.84
  4. Step 4: Simplify right side
    1,386.05x = 1,581,541.05
  5. Step 5: Solve for x
    x = 1,581,541.05/1,386.05
  6. Step 6: Final answer
    x = 1,141.05

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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.