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Finding the Fourth Proportional to 2,974.48, 4,461.70 and 999.94

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Solution

The fourth proportional to 2,974.48, 4,461.70 and 999.94 is: 1,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.48 : 4,461.70 = 999.94 : x
  2. Step 2: Convert to fraction form
    2,974.48/4,461.70 = 999.94/x
  3. Step 3: Cross multiply
    2,974.48x = 4,461.70 × 999.94
  4. Step 4: Simplify right side
    2,974.48x = 4,461,432.30
  5. Step 5: Solve for x
    x = 4,461,432.30/2,974.48
  6. Step 6: Final answer
    x = 1,499.90

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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.