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Finding the Fourth Proportional to 2,115.66, 2,919.96 and 1,231.98

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Solution

The fourth proportional to 2,115.66, 2,919.96 and 1,231.98 is: 1,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.66 : 2,919.96 = 1,231.98 : x
  2. Step 2: Convert to fraction form
    2,115.66/2,919.96 = 1,231.98/x
  3. Step 3: Cross multiply
    2,115.66x = 2,919.96 × 1,231.98
  4. Step 4: Simplify right side
    2,115.66x = 3,597,332.32
  5. Step 5: Solve for x
    x = 3,597,332.32/2,115.66
  6. Step 6: Final answer
    x = 1,700.34

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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.