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Finding the Fourth Proportional to 2,503.64, 3,755.02 and 772.28

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Solution

The fourth proportional to 2,503.64, 3,755.02 and 772.28 is: 1,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.64 : 3,755.02 = 772.28 : x
  2. Step 2: Convert to fraction form
    2,503.64/3,755.02 = 772.28/x
  3. Step 3: Cross multiply
    2,503.64x = 3,755.02 × 772.28
  4. Step 4: Simplify right side
    2,503.64x = 2,899,926.85
  5. Step 5: Solve for x
    x = 2,899,926.85/2,503.64
  6. Step 6: Final answer
    x = 1,158.28

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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.