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Finding the Fourth Proportional to 2,446.42, 3,666.75 and 983.62

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Solution

The fourth proportional to 2,446.42, 3,666.75 and 983.62 is: 1,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.42 : 3,666.75 = 983.62 : x
  2. Step 2: Convert to fraction form
    2,446.42/3,666.75 = 983.62/x
  3. Step 3: Cross multiply
    2,446.42x = 3,666.75 × 983.62
  4. Step 4: Simplify right side
    2,446.42x = 3,606,688.64
  5. Step 5: Solve for x
    x = 3,606,688.64/2,446.42
  6. Step 6: Final answer
    x = 1,474.27

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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.