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Finding the Fourth Proportional to 4,153.70, 6,231.76 and 1,232.02

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Solution

The fourth proportional to 4,153.70, 6,231.76 and 1,232.02 is: 1,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.70 : 6,231.76 = 1,232.02 : x
  2. Step 2: Convert to fraction form
    4,153.70/6,231.76 = 1,232.02/x
  3. Step 3: Cross multiply
    4,153.70x = 6,231.76 × 1,232.02
  4. Step 4: Simplify right side
    4,153.70x = 7,677,652.96
  5. Step 5: Solve for x
    x = 7,677,652.96/4,153.70
  6. Step 6: Final answer
    x = 1,848.39

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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.