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Finding the Fourth Proportional to 2,459.57, 3,685.23 and 1,942.92

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Solution

The fourth proportional to 2,459.57, 3,685.23 and 1,942.92 is: 2,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.57 : 3,685.23 = 1,942.92 : x
  2. Step 2: Convert to fraction form
    2,459.57/3,685.23 = 1,942.92/x
  3. Step 3: Cross multiply
    2,459.57x = 3,685.23 × 1,942.92
  4. Step 4: Simplify right side
    2,459.57x = 7,160,107.07
  5. Step 5: Solve for x
    x = 7,160,107.07/2,459.57
  6. Step 6: Final answer
    x = 2,911.13

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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.