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Finding the Fourth Proportional to 2,151.51, 3,227.31 and 835.35

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Solution

The fourth proportional to 2,151.51, 3,227.31 and 835.35 is: 1,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.51 : 3,227.31 = 835.35 : x
  2. Step 2: Convert to fraction form
    2,151.51/3,227.31 = 835.35/x
  3. Step 3: Cross multiply
    2,151.51x = 3,227.31 × 835.35
  4. Step 4: Simplify right side
    2,151.51x = 2,695,933.41
  5. Step 5: Solve for x
    x = 2,695,933.41/2,151.51
  6. Step 6: Final answer
    x = 1,253.04

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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.