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Finding the Fourth Proportional to 2,300.46, 3,446.58 and 2,140.54

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Solution

The fourth proportional to 2,300.46, 3,446.58 and 2,140.54 is: 3,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.46 : 3,446.58 = 2,140.54 : x
  2. Step 2: Convert to fraction form
    2,300.46/3,446.58 = 2,140.54/x
  3. Step 3: Cross multiply
    2,300.46x = 3,446.58 × 2,140.54
  4. Step 4: Simplify right side
    2,300.46x = 7,377,542.35
  5. Step 5: Solve for x
    x = 7,377,542.35/2,300.46
  6. Step 6: Final answer
    x = 3,206.99

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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.