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Finding the Fourth Proportional to 2,341.68, 3,515.16 and 2,286.24

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Solution

The fourth proportional to 2,341.68, 3,515.16 and 2,286.24 is: 3,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.68 : 3,515.16 = 2,286.24 : x
  2. Step 2: Convert to fraction form
    2,341.68/3,515.16 = 2,286.24/x
  3. Step 3: Cross multiply
    2,341.68x = 3,515.16 × 2,286.24
  4. Step 4: Simplify right side
    2,341.68x = 8,036,499.40
  5. Step 5: Solve for x
    x = 8,036,499.40/2,341.68
  6. Step 6: Final answer
    x = 3,431.94

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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.