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Finding the Fourth Proportional to 2,173.32, 3,260.02 and 529.88

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Solution

The fourth proportional to 2,173.32, 3,260.02 and 529.88 is: 794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.32 : 3,260.02 = 529.88 : x
  2. Step 2: Convert to fraction form
    2,173.32/3,260.02 = 529.88/x
  3. Step 3: Cross multiply
    2,173.32x = 3,260.02 × 529.88
  4. Step 4: Simplify right side
    2,173.32x = 1,727,419.40
  5. Step 5: Solve for x
    x = 1,727,419.40/2,173.32
  6. Step 6: Final answer
    x = 794.83

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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.