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Finding the Fourth Proportional to 3,025, 4,175.24 and 1,847.06

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Solution

The fourth proportional to 3,025, 4,175.24 and 1,847.06 is: 2,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025 : 4,175.24 = 1,847.06 : x
  2. Step 2: Convert to fraction form
    3,025/4,175.24 = 1,847.06/x
  3. Step 3: Cross multiply
    3,025x = 4,175.24 × 1,847.06
  4. Step 4: Simplify right side
    3,025x = 7,711,918.79
  5. Step 5: Solve for x
    x = 7,711,918.79/3,025
  6. Step 6: Final answer
    x = 2,549.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.