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Finding the Fourth Proportional to 2,889.97, 4,334.95 and 1,157.38

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Solution

The fourth proportional to 2,889.97, 4,334.95 and 1,157.38 is: 1,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.97 : 4,334.95 = 1,157.38 : x
  2. Step 2: Convert to fraction form
    2,889.97/4,334.95 = 1,157.38/x
  3. Step 3: Cross multiply
    2,889.97x = 4,334.95 × 1,157.38
  4. Step 4: Simplify right side
    2,889.97x = 5,017,162.76
  5. Step 5: Solve for x
    x = 5,017,162.76/2,889.97
  6. Step 6: Final answer
    x = 1,736.06

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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.