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Finding the Fourth Proportional to 2,365.54, 3,548.31 and 634.21

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Solution

The fourth proportional to 2,365.54, 3,548.31 and 634.21 is: 951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.54 : 3,548.31 = 634.21 : x
  2. Step 2: Convert to fraction form
    2,365.54/3,548.31 = 634.21/x
  3. Step 3: Cross multiply
    2,365.54x = 3,548.31 × 634.21
  4. Step 4: Simplify right side
    2,365.54x = 2,250,373.69
  5. Step 5: Solve for x
    x = 2,250,373.69/2,365.54
  6. Step 6: Final answer
    x = 951.32

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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.