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Finding the Fourth Proportional to 3,172.62, 4,760.64 and 1,506.36

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Solution

The fourth proportional to 3,172.62, 4,760.64 and 1,506.36 is: 2,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.62 : 4,760.64 = 1,506.36 : x
  2. Step 2: Convert to fraction form
    3,172.62/4,760.64 = 1,506.36/x
  3. Step 3: Cross multiply
    3,172.62x = 4,760.64 × 1,506.36
  4. Step 4: Simplify right side
    3,172.62x = 7,171,237.67
  5. Step 5: Solve for x
    x = 7,171,237.67/3,172.62
  6. Step 6: Final answer
    x = 2,260.35

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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.