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Finding the Fourth Proportional to 2,974.67, 4,460.49 and 999.62

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Solution

The fourth proportional to 2,974.67, 4,460.49 and 999.62 is: 1,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.67 : 4,460.49 = 999.62 : x
  2. Step 2: Convert to fraction form
    2,974.67/4,460.49 = 999.62/x
  3. Step 3: Cross multiply
    2,974.67x = 4,460.49 × 999.62
  4. Step 4: Simplify right side
    2,974.67x = 4,458,795.01
  5. Step 5: Solve for x
    x = 4,458,795.01/2,974.67
  6. Step 6: Final answer
    x = 1,498.92

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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.