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Finding the Fourth Proportional to 2,503.68, 3,738.74 and 2,359.68

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Solution

The fourth proportional to 2,503.68, 3,738.74 and 2,359.68 is: 3,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.68 : 3,738.74 = 2,359.68 : x
  2. Step 2: Convert to fraction form
    2,503.68/3,738.74 = 2,359.68/x
  3. Step 3: Cross multiply
    2,503.68x = 3,738.74 × 2,359.68
  4. Step 4: Simplify right side
    2,503.68x = 8,822,230.00
  5. Step 5: Solve for x
    x = 8,822,230.00/2,503.68
  6. Step 6: Final answer
    x = 3,523.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.