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Finding the Fourth Proportional to 2,490.81, 3,737.60 and 930.75

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Solution

The fourth proportional to 2,490.81, 3,737.60 and 930.75 is: 1,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.81 : 3,737.60 = 930.75 : x
  2. Step 2: Convert to fraction form
    2,490.81/3,737.60 = 930.75/x
  3. Step 3: Cross multiply
    2,490.81x = 3,737.60 × 930.75
  4. Step 4: Simplify right side
    2,490.81x = 3,478,766.55
  5. Step 5: Solve for x
    x = 3,478,766.55/2,490.81
  6. Step 6: Final answer
    x = 1,396.64

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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.