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Finding the Fourth Proportional to 2,765.81, 4,142.08 and 1,592.25

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Solution

The fourth proportional to 2,765.81, 4,142.08 and 1,592.25 is: 2,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.81 : 4,142.08 = 1,592.25 : x
  2. Step 2: Convert to fraction form
    2,765.81/4,142.08 = 1,592.25/x
  3. Step 3: Cross multiply
    2,765.81x = 4,142.08 × 1,592.25
  4. Step 4: Simplify right side
    2,765.81x = 6,595,226.88
  5. Step 5: Solve for x
    x = 6,595,226.88/2,765.81
  6. Step 6: Final answer
    x = 2,384.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.