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Finding the Fourth Proportional to 3,024.69, 4,532.78 and 2,405.64

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Solution

The fourth proportional to 3,024.69, 4,532.78 and 2,405.64 is: 3,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.69 : 4,532.78 = 2,405.64 : x
  2. Step 2: Convert to fraction form
    3,024.69/4,532.78 = 2,405.64/x
  3. Step 3: Cross multiply
    3,024.69x = 4,532.78 × 2,405.64
  4. Step 4: Simplify right side
    3,024.69x = 10,904,241.85
  5. Step 5: Solve for x
    x = 10,904,241.85/3,024.69
  6. Step 6: Final answer
    x = 3,605.08

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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.