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Finding the Fourth Proportional to 2,591.70, 3,578.13 and 1,598.31

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Solution

The fourth proportional to 2,591.70, 3,578.13 and 1,598.31 is: 2,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.70 : 3,578.13 = 1,598.31 : x
  2. Step 2: Convert to fraction form
    2,591.70/3,578.13 = 1,598.31/x
  3. Step 3: Cross multiply
    2,591.70x = 3,578.13 × 1,598.31
  4. Step 4: Simplify right side
    2,591.70x = 5,718,960.96
  5. Step 5: Solve for x
    x = 5,718,960.96/2,591.70
  6. Step 6: Final answer
    x = 2,206.64

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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.