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Finding the Fourth Proportional to 2,974.26, 4,461.47 and 999.92

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Solution

The fourth proportional to 2,974.26, 4,461.47 and 999.92 is: 1,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.26 : 4,461.47 = 999.92 : x
  2. Step 2: Convert to fraction form
    2,974.26/4,461.47 = 999.92/x
  3. Step 3: Cross multiply
    2,974.26x = 4,461.47 × 999.92
  4. Step 4: Simplify right side
    2,974.26x = 4,461,108.08
  5. Step 5: Solve for x
    x = 4,461,108.08/2,974.26
  6. Step 6: Final answer
    x = 1,499.91

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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.