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Finding the Fourth Proportional to 2,886.97, 4,306.14 and 2,419.33

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Solution

The fourth proportional to 2,886.97, 4,306.14 and 2,419.33 is: 3,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.97 : 4,306.14 = 2,419.33 : x
  2. Step 2: Convert to fraction form
    2,886.97/4,306.14 = 2,419.33/x
  3. Step 3: Cross multiply
    2,886.97x = 4,306.14 × 2,419.33
  4. Step 4: Simplify right side
    2,886.97x = 10,417,973.69
  5. Step 5: Solve for x
    x = 10,417,973.69/2,886.97
  6. Step 6: Final answer
    x = 3,608.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.