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Finding the Fourth Proportional to 2,564.63, 3,846.59 and 1,003.55

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Solution

The fourth proportional to 2,564.63, 3,846.59 and 1,003.55 is: 1,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.63 : 3,846.59 = 1,003.55 : x
  2. Step 2: Convert to fraction form
    2,564.63/3,846.59 = 1,003.55/x
  3. Step 3: Cross multiply
    2,564.63x = 3,846.59 × 1,003.55
  4. Step 4: Simplify right side
    2,564.63x = 3,860,221.14
  5. Step 5: Solve for x
    x = 3,860,221.14/2,564.63
  6. Step 6: Final answer
    x = 1,505.18

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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.