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Finding the Fourth Proportional to 2,765.52, 4,164.48 and 2,040.12

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Solution

The fourth proportional to 2,765.52, 4,164.48 and 2,040.12 is: 3,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.52 : 4,164.48 = 2,040.12 : x
  2. Step 2: Convert to fraction form
    2,765.52/4,164.48 = 2,040.12/x
  3. Step 3: Cross multiply
    2,765.52x = 4,164.48 × 2,040.12
  4. Step 4: Simplify right side
    2,765.52x = 8,496,038.94
  5. Step 5: Solve for x
    x = 8,496,038.94/2,765.52
  6. Step 6: Final answer
    x = 3,072.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.