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Finding the Fourth Proportional to 1,835.78, 2,533.02 and 1,172.12

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Solution

The fourth proportional to 1,835.78, 2,533.02 and 1,172.12 is: 1,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.78 : 2,533.02 = 1,172.12 : x
  2. Step 2: Convert to fraction form
    1,835.78/2,533.02 = 1,172.12/x
  3. Step 3: Cross multiply
    1,835.78x = 2,533.02 × 1,172.12
  4. Step 4: Simplify right side
    1,835.78x = 2,969,003.40
  5. Step 5: Solve for x
    x = 2,969,003.40/1,835.78
  6. Step 6: Final answer
    x = 1,617.30

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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.