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Finding the Fourth Proportional to 2,563.93, 3,844.88 and 1,003.67

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Solution

The fourth proportional to 2,563.93, 3,844.88 and 1,003.67 is: 1,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.93 : 3,844.88 = 1,003.67 : x
  2. Step 2: Convert to fraction form
    2,563.93/3,844.88 = 1,003.67/x
  3. Step 3: Cross multiply
    2,563.93x = 3,844.88 × 1,003.67
  4. Step 4: Simplify right side
    2,563.93x = 3,858,966.47
  5. Step 5: Solve for x
    x = 3,858,966.47/2,563.93
  6. Step 6: Final answer
    x = 1,505.10

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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.