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Finding the Fourth Proportional to 2,298.72, 3,446.82 and 983.46

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Solution

The fourth proportional to 2,298.72, 3,446.82 and 983.46 is: 1,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.72 : 3,446.82 = 983.46 : x
  2. Step 2: Convert to fraction form
    2,298.72/3,446.82 = 983.46/x
  3. Step 3: Cross multiply
    2,298.72x = 3,446.82 × 983.46
  4. Step 4: Simplify right side
    2,298.72x = 3,389,809.60
  5. Step 5: Solve for x
    x = 3,389,809.60/2,298.72
  6. Step 6: Final answer
    x = 1,474.65

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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.