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Finding the Fourth Proportional to 2,170.22, 3,254.61 and 999.50

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Solution

The fourth proportional to 2,170.22, 3,254.61 and 999.50 is: 1,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.22 : 3,254.61 = 999.50 : x
  2. Step 2: Convert to fraction form
    2,170.22/3,254.61 = 999.50/x
  3. Step 3: Cross multiply
    2,170.22x = 3,254.61 × 999.50
  4. Step 4: Simplify right side
    2,170.22x = 3,252,982.70
  5. Step 5: Solve for x
    x = 3,252,982.70/2,170.22
  6. Step 6: Final answer
    x = 1,498.92

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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.