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Finding the Fourth Proportional to 2,125.64, 3,188.49 and 739.02

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Solution

The fourth proportional to 2,125.64, 3,188.49 and 739.02 is: 1,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.64 : 3,188.49 = 739.02 : x
  2. Step 2: Convert to fraction form
    2,125.64/3,188.49 = 739.02/x
  3. Step 3: Cross multiply
    2,125.64x = 3,188.49 × 739.02
  4. Step 4: Simplify right side
    2,125.64x = 2,356,357.88
  5. Step 5: Solve for x
    x = 2,356,357.88/2,125.64
  6. Step 6: Final answer
    x = 1,108.54

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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.