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Finding the Fourth Proportional to 2,151.62, 3,229.04 and 835.58

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Solution

The fourth proportional to 2,151.62, 3,229.04 and 835.58 is: 1,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.62 : 3,229.04 = 835.58 : x
  2. Step 2: Convert to fraction form
    2,151.62/3,229.04 = 835.58/x
  3. Step 3: Cross multiply
    2,151.62x = 3,229.04 × 835.58
  4. Step 4: Simplify right side
    2,151.62x = 2,698,117.07
  5. Step 5: Solve for x
    x = 2,698,117.07/2,151.62
  6. Step 6: Final answer
    x = 1,253.99

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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.