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Finding the Fourth Proportional to 2,765.18, 3,815.78 and 1,523.18

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Solution

The fourth proportional to 2,765.18, 3,815.78 and 1,523.18 is: 2,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.18 : 3,815.78 = 1,523.18 : x
  2. Step 2: Convert to fraction form
    2,765.18/3,815.78 = 1,523.18/x
  3. Step 3: Cross multiply
    2,765.18x = 3,815.78 × 1,523.18
  4. Step 4: Simplify right side
    2,765.18x = 5,812,119.78
  5. Step 5: Solve for x
    x = 5,812,119.78/2,765.18
  6. Step 6: Final answer
    x = 2,101.90

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