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Finding the Fourth Proportional to 2,405.90, 3,608.85 and 2,108.30

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Solution

The fourth proportional to 2,405.90, 3,608.85 and 2,108.30 is: 3,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.90 : 3,608.85 = 2,108.30 : x
  2. Step 2: Convert to fraction form
    2,405.90/3,608.85 = 2,108.30/x
  3. Step 3: Cross multiply
    2,405.90x = 3,608.85 × 2,108.30
  4. Step 4: Simplify right side
    2,405.90x = 7,608,538.46
  5. Step 5: Solve for x
    x = 7,608,538.46/2,405.90
  6. Step 6: Final answer
    x = 3,162.45

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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.