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Finding the Fourth Proportional to 1,908.92, 2,847.40 and 1,597.28

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Solution

The fourth proportional to 1,908.92, 2,847.40 and 1,597.28 is: 2,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.92 : 2,847.40 = 1,597.28 : x
  2. Step 2: Convert to fraction form
    1,908.92/2,847.40 = 1,597.28/x
  3. Step 3: Cross multiply
    1,908.92x = 2,847.40 × 1,597.28
  4. Step 4: Simplify right side
    1,908.92x = 4,548,095.07
  5. Step 5: Solve for x
    x = 4,548,095.07/1,908.92
  6. Step 6: Final answer
    x = 2,382.55

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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.