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Finding the Fourth Proportional to 2,490.53, 3,736.23 and 846.98

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Solution

The fourth proportional to 2,490.53, 3,736.23 and 846.98 is: 1,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.53 : 3,736.23 = 846.98 : x
  2. Step 2: Convert to fraction form
    2,490.53/3,736.23 = 846.98/x
  3. Step 3: Cross multiply
    2,490.53x = 3,736.23 × 846.98
  4. Step 4: Simplify right side
    2,490.53x = 3,164,493.40
  5. Step 5: Solve for x
    x = 3,164,493.40/2,490.53
  6. Step 6: Final answer
    x = 1,270.61

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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.