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Finding the Fourth Proportional to 2,377.29, 3,281.54 and 1,786.80

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Solution

The fourth proportional to 2,377.29, 3,281.54 and 1,786.80 is: 2,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.29 : 3,281.54 = 1,786.80 : x
  2. Step 2: Convert to fraction form
    2,377.29/3,281.54 = 1,786.80/x
  3. Step 3: Cross multiply
    2,377.29x = 3,281.54 × 1,786.80
  4. Step 4: Simplify right side
    2,377.29x = 5,863,446.74
  5. Step 5: Solve for x
    x = 5,863,446.74/2,377.29
  6. Step 6: Final answer
    x = 2,466.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.