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Finding the Fourth Proportional to 2,654.37, 3,980.34 and 1,559.25

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Solution

The fourth proportional to 2,654.37, 3,980.34 and 1,559.25 is: 2,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.37 : 3,980.34 = 1,559.25 : x
  2. Step 2: Convert to fraction form
    2,654.37/3,980.34 = 1,559.25/x
  3. Step 3: Cross multiply
    2,654.37x = 3,980.34 × 1,559.25
  4. Step 4: Simplify right side
    2,654.37x = 6,206,345.15
  5. Step 5: Solve for x
    x = 6,206,345.15/2,654.37
  6. Step 6: Final answer
    x = 2,338.16

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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.