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Finding the Fourth Proportional to 2,765.72, 4,145.94 and 1,033.94

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Solution

The fourth proportional to 2,765.72, 4,145.94 and 1,033.94 is: 1,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.72 : 4,145.94 = 1,033.94 : x
  2. Step 2: Convert to fraction form
    2,765.72/4,145.94 = 1,033.94/x
  3. Step 3: Cross multiply
    2,765.72x = 4,145.94 × 1,033.94
  4. Step 4: Simplify right side
    2,765.72x = 4,286,632.47
  5. Step 5: Solve for x
    x = 4,286,632.47/2,765.72
  6. Step 6: Final answer
    x = 1,549.92

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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.