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Finding the Fourth Proportional to 2,998.94, 4,499.71 and 1,610.66

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Solution

The fourth proportional to 2,998.94, 4,499.71 and 1,610.66 is: 2,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.94 : 4,499.71 = 1,610.66 : x
  2. Step 2: Convert to fraction form
    2,998.94/4,499.71 = 1,610.66/x
  3. Step 3: Cross multiply
    2,998.94x = 4,499.71 × 1,610.66
  4. Step 4: Simplify right side
    2,998.94x = 7,247,502.91
  5. Step 5: Solve for x
    x = 7,247,502.91/2,998.94
  6. Step 6: Final answer
    x = 2,416.69

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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.