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Finding the Fourth Proportional to 2,652.10, 3,978.46 and 704.32

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Solution

The fourth proportional to 2,652.10, 3,978.46 and 704.32 is: 1,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.10 : 3,978.46 = 704.32 : x
  2. Step 2: Convert to fraction form
    2,652.10/3,978.46 = 704.32/x
  3. Step 3: Cross multiply
    2,652.10x = 3,978.46 × 704.32
  4. Step 4: Simplify right side
    2,652.10x = 2,802,108.95
  5. Step 5: Solve for x
    x = 2,802,108.95/2,652.10
  6. Step 6: Final answer
    x = 1,056.56

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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.