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Finding the Fourth Proportional to 3,180.99, 4,772.70 and 1,537.41

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Solution

The fourth proportional to 3,180.99, 4,772.70 and 1,537.41 is: 2,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.99 : 4,772.70 = 1,537.41 : x
  2. Step 2: Convert to fraction form
    3,180.99/4,772.70 = 1,537.41/x
  3. Step 3: Cross multiply
    3,180.99x = 4,772.70 × 1,537.41
  4. Step 4: Simplify right side
    3,180.99x = 7,337,596.71
  5. Step 5: Solve for x
    x = 7,337,596.71/3,180.99
  6. Step 6: Final answer
    x = 2,306.70

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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.