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Finding the Fourth Proportional to 2,405.10, 3,607.65 and 2,040.60

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Solution

The fourth proportional to 2,405.10, 3,607.65 and 2,040.60 is: 3,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.10 : 3,607.65 = 2,040.60 : x
  2. Step 2: Convert to fraction form
    2,405.10/3,607.65 = 2,040.60/x
  3. Step 3: Cross multiply
    2,405.10x = 3,607.65 × 2,040.60
  4. Step 4: Simplify right side
    2,405.10x = 7,361,770.59
  5. Step 5: Solve for x
    x = 7,361,770.59/2,405.10
  6. Step 6: Final answer
    x = 3,060.90

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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.