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Finding the Fourth Proportional to 2,304.40, 3,456.62 and 1,845.10

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Solution

The fourth proportional to 2,304.40, 3,456.62 and 1,845.10 is: 2,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.40 : 3,456.62 = 1,845.10 : x
  2. Step 2: Convert to fraction form
    2,304.40/3,456.62 = 1,845.10/x
  3. Step 3: Cross multiply
    2,304.40x = 3,456.62 × 1,845.10
  4. Step 4: Simplify right side
    2,304.40x = 6,377,809.56
  5. Step 5: Solve for x
    x = 6,377,809.56/2,304.40
  6. Step 6: Final answer
    x = 2,767.67

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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.