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Finding the Fourth Proportional to 2,365.52, 3,548.24 and 634.12

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Solution

The fourth proportional to 2,365.52, 3,548.24 and 634.12 is: 951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.52 : 3,548.24 = 634.12 : x
  2. Step 2: Convert to fraction form
    2,365.52/3,548.24 = 634.12/x
  3. Step 3: Cross multiply
    2,365.52x = 3,548.24 × 634.12
  4. Step 4: Simplify right side
    2,365.52x = 2,250,009.95
  5. Step 5: Solve for x
    x = 2,250,009.95/2,365.52
  6. Step 6: Final answer
    x = 951.17

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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.