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Finding the Fourth Proportional to 2,533.95, 3,796.74 and 1,558.04

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Solution

The fourth proportional to 2,533.95, 3,796.74 and 1,558.04 is: 2,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.95 : 3,796.74 = 1,558.04 : x
  2. Step 2: Convert to fraction form
    2,533.95/3,796.74 = 1,558.04/x
  3. Step 3: Cross multiply
    2,533.95x = 3,796.74 × 1,558.04
  4. Step 4: Simplify right side
    2,533.95x = 5,915,453.81
  5. Step 5: Solve for x
    x = 5,915,453.81/2,533.95
  6. Step 6: Final answer
    x = 2,334.48

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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.