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Finding the Fourth Proportional to 2,765.32, 3,816.13 and 1,523.32

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Solution

The fourth proportional to 2,765.32, 3,816.13 and 1,523.32 is: 2,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.32 : 3,816.13 = 1,523.32 : x
  2. Step 2: Convert to fraction form
    2,765.32/3,816.13 = 1,523.32/x
  3. Step 3: Cross multiply
    2,765.32x = 3,816.13 × 1,523.32
  4. Step 4: Simplify right side
    2,765.32x = 5,813,187.15
  5. Step 5: Solve for x
    x = 5,813,187.15/2,765.32
  6. Step 6: Final answer
    x = 2,102.18

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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.