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Finding the Fourth Proportional to 2,116.91, 3,178.99 and 1,299.98

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Solution

The fourth proportional to 2,116.91, 3,178.99 and 1,299.98 is: 1,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.91 : 3,178.99 = 1,299.98 : x
  2. Step 2: Convert to fraction form
    2,116.91/3,178.99 = 1,299.98/x
  3. Step 3: Cross multiply
    2,116.91x = 3,178.99 × 1,299.98
  4. Step 4: Simplify right side
    2,116.91x = 4,132,623.42
  5. Step 5: Solve for x
    x = 4,132,623.42/2,116.91
  6. Step 6: Final answer
    x = 1,952.20

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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.