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Finding the Fourth Proportional to 1,533.53, 2,112.24 and 1,178.77

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Solution

The fourth proportional to 1,533.53, 2,112.24 and 1,178.77 is: 1,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.53 : 2,112.24 = 1,178.77 : x
  2. Step 2: Convert to fraction form
    1,533.53/2,112.24 = 1,178.77/x
  3. Step 3: Cross multiply
    1,533.53x = 2,112.24 × 1,178.77
  4. Step 4: Simplify right side
    1,533.53x = 2,489,845.14
  5. Step 5: Solve for x
    x = 2,489,845.14/1,533.53
  6. Step 6: Final answer
    x = 1,623.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.