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Finding the Fourth Proportional to 2,652.50, 3,978.75 and 828.50

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Solution

The fourth proportional to 2,652.50, 3,978.75 and 828.50 is: 1,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.50 : 3,978.75 = 828.50 : x
  2. Step 2: Convert to fraction form
    2,652.50/3,978.75 = 828.50/x
  3. Step 3: Cross multiply
    2,652.50x = 3,978.75 × 828.50
  4. Step 4: Simplify right side
    2,652.50x = 3,296,394.38
  5. Step 5: Solve for x
    x = 3,296,394.38/2,652.50
  6. Step 6: Final answer
    x = 1,242.75

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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.