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Finding the Fourth Proportional to 2,503.76, 3,755.57 and 772.38

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Solution

The fourth proportional to 2,503.76, 3,755.57 and 772.38 is: 1,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.76 : 3,755.57 = 772.38 : x
  2. Step 2: Convert to fraction form
    2,503.76/3,755.57 = 772.38/x
  3. Step 3: Cross multiply
    2,503.76x = 3,755.57 × 772.38
  4. Step 4: Simplify right side
    2,503.76x = 2,900,723.29
  5. Step 5: Solve for x
    x = 2,900,723.29/2,503.76
  6. Step 6: Final answer
    x = 1,158.55

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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.