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Finding the Fourth Proportional to 3,218.85, 4,442.00 and 1,821.60

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Solution

The fourth proportional to 3,218.85, 4,442.00 and 1,821.60 is: 2,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.85 : 4,442.00 = 1,821.60 : x
  2. Step 2: Convert to fraction form
    3,218.85/4,442.00 = 1,821.60/x
  3. Step 3: Cross multiply
    3,218.85x = 4,442.00 × 1,821.60
  4. Step 4: Simplify right side
    3,218.85x = 8,091,538.09
  5. Step 5: Solve for x
    x = 8,091,538.09/3,218.85
  6. Step 6: Final answer
    x = 2,513.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.