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Finding the Fourth Proportional to 2,435.01, 3,654.09 and 1,202.46

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Solution

The fourth proportional to 2,435.01, 3,654.09 and 1,202.46 is: 1,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.01 : 3,654.09 = 1,202.46 : x
  2. Step 2: Convert to fraction form
    2,435.01/3,654.09 = 1,202.46/x
  3. Step 3: Cross multiply
    2,435.01x = 3,654.09 × 1,202.46
  4. Step 4: Simplify right side
    2,435.01x = 4,393,897.06
  5. Step 5: Solve for x
    x = 4,393,897.06/2,435.01
  6. Step 6: Final answer
    x = 1,804.47

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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.