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Finding the Fourth Proportional to 1,610.99, 2,206.50 and 1,516.42

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Solution

The fourth proportional to 1,610.99, 2,206.50 and 1,516.42 is: 2,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.99 : 2,206.50 = 1,516.42 : x
  2. Step 2: Convert to fraction form
    1,610.99/2,206.50 = 1,516.42/x
  3. Step 3: Cross multiply
    1,610.99x = 2,206.50 × 1,516.42
  4. Step 4: Simplify right side
    1,610.99x = 3,345,980.73
  5. Step 5: Solve for x
    x = 3,345,980.73/1,610.99
  6. Step 6: Final answer
    x = 2,076.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.