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Finding the Fourth Proportional to 3,052.42, 4,577.72 and 1,665.50

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Solution

The fourth proportional to 3,052.42, 4,577.72 and 1,665.50 is: 2,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.42 : 4,577.72 = 1,665.50 : x
  2. Step 2: Convert to fraction form
    3,052.42/4,577.72 = 1,665.50/x
  3. Step 3: Cross multiply
    3,052.42x = 4,577.72 × 1,665.50
  4. Step 4: Simplify right side
    3,052.42x = 7,624,161.44
  5. Step 5: Solve for x
    x = 7,624,161.44/3,052.42
  6. Step 6: Final answer
    x = 2,497.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.