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Finding the Fourth Proportional to 2,378.99, 3,568.08 and 1,454.38

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Solution

The fourth proportional to 2,378.99, 3,568.08 and 1,454.38 is: 2,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.99 : 3,568.08 = 1,454.38 : x
  2. Step 2: Convert to fraction form
    2,378.99/3,568.08 = 1,454.38/x
  3. Step 3: Cross multiply
    2,378.99x = 3,568.08 × 1,454.38
  4. Step 4: Simplify right side
    2,378.99x = 5,189,344.19
  5. Step 5: Solve for x
    x = 5,189,344.19/2,378.99
  6. Step 6: Final answer
    x = 2,181.32

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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.