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Finding the Fourth Proportional to 2,877.52, 4,316.24 and 825.52

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Solution

The fourth proportional to 2,877.52, 4,316.24 and 825.52 is: 1,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.52 : 4,316.24 = 825.52 : x
  2. Step 2: Convert to fraction form
    2,877.52/4,316.24 = 825.52/x
  3. Step 3: Cross multiply
    2,877.52x = 4,316.24 × 825.52
  4. Step 4: Simplify right side
    2,877.52x = 3,563,142.44
  5. Step 5: Solve for x
    x = 3,563,142.44/2,877.52
  6. Step 6: Final answer
    x = 1,238.27

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Why These Related Problems?

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