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Finding the Fourth Proportional to 2,974.05, 4,461.14 and 999.70

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Solution

The fourth proportional to 2,974.05, 4,461.14 and 999.70 is: 1,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.05 : 4,461.14 = 999.70 : x
  2. Step 2: Convert to fraction form
    2,974.05/4,461.14 = 999.70/x
  3. Step 3: Cross multiply
    2,974.05x = 4,461.14 × 999.70
  4. Step 4: Simplify right side
    2,974.05x = 4,459,796.66
  5. Step 5: Solve for x
    x = 4,459,796.66/2,974.05
  6. Step 6: Final answer
    x = 1,499.57

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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.