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Finding the Fourth Proportional to 2,412.86, 3,616.24 and 2,056.46

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Solution

The fourth proportional to 2,412.86, 3,616.24 and 2,056.46 is: 3,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.86 : 3,616.24 = 2,056.46 : x
  2. Step 2: Convert to fraction form
    2,412.86/3,616.24 = 2,056.46/x
  3. Step 3: Cross multiply
    2,412.86x = 3,616.24 × 2,056.46
  4. Step 4: Simplify right side
    2,412.86x = 7,436,652.91
  5. Step 5: Solve for x
    x = 7,436,652.91/2,412.86
  6. Step 6: Final answer
    x = 3,082.09

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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.