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Finding the Fourth Proportional to 2,115.88, 2,919.86 and 1,231.84

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Solution

The fourth proportional to 2,115.88, 2,919.86 and 1,231.84 is: 1,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.88 : 2,919.86 = 1,231.84 : x
  2. Step 2: Convert to fraction form
    2,115.88/2,919.86 = 1,231.84/x
  3. Step 3: Cross multiply
    2,115.88x = 2,919.86 × 1,231.84
  4. Step 4: Simplify right side
    2,115.88x = 3,596,800.34
  5. Step 5: Solve for x
    x = 3,596,800.34/2,115.88
  6. Step 6: Final answer
    x = 1,699.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.