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Finding the Fourth Proportional to 2,446.74, 3,666.96 and 985.05

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Solution

The fourth proportional to 2,446.74, 3,666.96 and 985.05 is: 1,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.74 : 3,666.96 = 985.05 : x
  2. Step 2: Convert to fraction form
    2,446.74/3,666.96 = 985.05/x
  3. Step 3: Cross multiply
    2,446.74x = 3,666.96 × 985.05
  4. Step 4: Simplify right side
    2,446.74x = 3,612,138.95
  5. Step 5: Solve for x
    x = 3,612,138.95/2,446.74
  6. Step 6: Final answer
    x = 1,476.31

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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.