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Finding the Fourth Proportional to 2,503.97, 3,756.00 and 772.59

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Solution

The fourth proportional to 2,503.97, 3,756.00 and 772.59 is: 1,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.97 : 3,756.00 = 772.59 : x
  2. Step 2: Convert to fraction form
    2,503.97/3,756.00 = 772.59/x
  3. Step 3: Cross multiply
    2,503.97x = 3,756.00 × 772.59
  4. Step 4: Simplify right side
    2,503.97x = 2,901,865.02
  5. Step 5: Solve for x
    x = 2,901,865.02/2,503.97
  6. Step 6: Final answer
    x = 1,158.91

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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.