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Finding the Fourth Proportional to 2,765, 3,815.70 and 1,523.08

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Solution

The fourth proportional to 2,765, 3,815.70 and 1,523.08 is: 2,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765 : 3,815.70 = 1,523.08 : x
  2. Step 2: Convert to fraction form
    2,765/3,815.70 = 1,523.08/x
  3. Step 3: Cross multiply
    2,765x = 3,815.70 × 1,523.08
  4. Step 4: Simplify right side
    2,765x = 5,811,616.36
  5. Step 5: Solve for x
    x = 5,811,616.36/2,765
  6. Step 6: Final answer
    x = 2,101.85

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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.