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Finding the Fourth Proportional to 1,386.78, 1,912.59 and 1,091.58

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Solution

The fourth proportional to 1,386.78, 1,912.59 and 1,091.58 is: 1,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.78 : 1,912.59 = 1,091.58 : x
  2. Step 2: Convert to fraction form
    1,386.78/1,912.59 = 1,091.58/x
  3. Step 3: Cross multiply
    1,386.78x = 1,912.59 × 1,091.58
  4. Step 4: Simplify right side
    1,386.78x = 2,087,744.99
  5. Step 5: Solve for x
    x = 2,087,744.99/1,386.78
  6. Step 6: Final answer
    x = 1,505.46

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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.