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Finding the Fourth Proportional to 2,605.22, 3,902.60 and 1,216.64

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Solution

The fourth proportional to 2,605.22, 3,902.60 and 1,216.64 is: 1,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.22 : 3,902.60 = 1,216.64 : x
  2. Step 2: Convert to fraction form
    2,605.22/3,902.60 = 1,216.64/x
  3. Step 3: Cross multiply
    2,605.22x = 3,902.60 × 1,216.64
  4. Step 4: Simplify right side
    2,605.22x = 4,748,053.18
  5. Step 5: Solve for x
    x = 4,748,053.18/2,605.22
  6. Step 6: Final answer
    x = 1,822.52

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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.