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Finding the Fourth Proportional to 2,945.16, 4,417.73 and 998.73

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Solution

The fourth proportional to 2,945.16, 4,417.73 and 998.73 is: 1,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.16 : 4,417.73 = 998.73 : x
  2. Step 2: Convert to fraction form
    2,945.16/4,417.73 = 998.73/x
  3. Step 3: Cross multiply
    2,945.16x = 4,417.73 × 998.73
  4. Step 4: Simplify right side
    2,945.16x = 4,412,097.39
  5. Step 5: Solve for x
    x = 4,412,097.39/2,945.16
  6. Step 6: Final answer
    x = 1,498.09

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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.