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Finding the Fourth Proportional to 1,850, 2,553.16 and 1,022.16

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Solution

The fourth proportional to 1,850, 2,553.16 and 1,022.16 is: 1,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850 : 2,553.16 = 1,022.16 : x
  2. Step 2: Convert to fraction form
    1,850/2,553.16 = 1,022.16/x
  3. Step 3: Cross multiply
    1,850x = 2,553.16 × 1,022.16
  4. Step 4: Simplify right side
    1,850x = 2,609,738.03
  5. Step 5: Solve for x
    x = 2,609,738.03/1,850
  6. Step 6: Final answer
    x = 1,410.67

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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.