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Finding the Fourth Proportional to 2,506.66, 3,760.00 and 1,583.62

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Solution

The fourth proportional to 2,506.66, 3,760.00 and 1,583.62 is: 2,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.66 : 3,760.00 = 1,583.62 : x
  2. Step 2: Convert to fraction form
    2,506.66/3,760.00 = 1,583.62/x
  3. Step 3: Cross multiply
    2,506.66x = 3,760.00 × 1,583.62
  4. Step 4: Simplify right side
    2,506.66x = 5,954,412.68
  5. Step 5: Solve for x
    x = 5,954,412.68/2,506.66
  6. Step 6: Final answer
    x = 2,375.43

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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.