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Finding the Fourth Proportional to 2,566.05, 3,850.95 and 2,412.96

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Solution

The fourth proportional to 2,566.05, 3,850.95 and 2,412.96 is: 3,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.05 : 3,850.95 = 2,412.96 : x
  2. Step 2: Convert to fraction form
    2,566.05/3,850.95 = 2,412.96/x
  3. Step 3: Cross multiply
    2,566.05x = 3,850.95 × 2,412.96
  4. Step 4: Simplify right side
    2,566.05x = 9,292,182.28
  5. Step 5: Solve for x
    x = 9,292,182.28/2,566.05
  6. Step 6: Final answer
    x = 3,621.20

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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.