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Finding the Fourth Proportional to 2,155.98, 3,233.91 and 1,284.51

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Solution

The fourth proportional to 2,155.98, 3,233.91 and 1,284.51 is: 1,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.98 : 3,233.91 = 1,284.51 : x
  2. Step 2: Convert to fraction form
    2,155.98/3,233.91 = 1,284.51/x
  3. Step 3: Cross multiply
    2,155.98x = 3,233.91 × 1,284.51
  4. Step 4: Simplify right side
    2,155.98x = 4,153,989.73
  5. Step 5: Solve for x
    x = 4,153,989.73/2,155.98
  6. Step 6: Final answer
    x = 1,926.73

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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.