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Finding the Fourth Proportional to 2,299.62, 3,445.07 and 1,359.75

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Solution

The fourth proportional to 2,299.62, 3,445.07 and 1,359.75 is: 2,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.62 : 3,445.07 = 1,359.75 : x
  2. Step 2: Convert to fraction form
    2,299.62/3,445.07 = 1,359.75/x
  3. Step 3: Cross multiply
    2,299.62x = 3,445.07 × 1,359.75
  4. Step 4: Simplify right side
    2,299.62x = 4,684,437.33
  5. Step 5: Solve for x
    x = 4,684,437.33/2,299.62
  6. Step 6: Final answer
    x = 2,037.05

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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.