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Finding the Fourth Proportional to 2,170.16, 3,254.52 and 936.80

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Solution

The fourth proportional to 2,170.16, 3,254.52 and 936.80 is: 1,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.16 : 3,254.52 = 936.80 : x
  2. Step 2: Convert to fraction form
    2,170.16/3,254.52 = 936.80/x
  3. Step 3: Cross multiply
    2,170.16x = 3,254.52 × 936.80
  4. Step 4: Simplify right side
    2,170.16x = 3,048,818.06
  5. Step 5: Solve for x
    x = 3,048,818.06/2,170.16
  6. Step 6: Final answer
    x = 1,404.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.