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Finding the Fourth Proportional to 2,563.74, 3,840.21 and 2,534.58

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Solution

The fourth proportional to 2,563.74, 3,840.21 and 2,534.58 is: 3,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.74 : 3,840.21 = 2,534.58 : x
  2. Step 2: Convert to fraction form
    2,563.74/3,840.21 = 2,534.58/x
  3. Step 3: Cross multiply
    2,563.74x = 3,840.21 × 2,534.58
  4. Step 4: Simplify right side
    2,563.74x = 9,733,319.46
  5. Step 5: Solve for x
    x = 9,733,319.46/2,563.74
  6. Step 6: Final answer
    x = 3,796.53

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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.