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Finding the Fourth Proportional to 2,158.94, 3,231.12 and 1,289

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Solution

The fourth proportional to 2,158.94, 3,231.12 and 1,289 is: 1,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.94 : 3,231.12 = 1,289 : x
  2. Step 2: Convert to fraction form
    2,158.94/3,231.12 = 1,289/x
  3. Step 3: Cross multiply
    2,158.94x = 3,231.12 × 1,289
  4. Step 4: Simplify right side
    2,158.94x = 4,164,913.68
  5. Step 5: Solve for x
    x = 4,164,913.68/2,158.94
  6. Step 6: Final answer
    x = 1,929.15

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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.