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Finding the Fourth Proportional to 2,362.17, 3,259.74 and 1,299.96

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Solution

The fourth proportional to 2,362.17, 3,259.74 and 1,299.96 is: 1,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.17 : 3,259.74 = 1,299.96 : x
  2. Step 2: Convert to fraction form
    2,362.17/3,259.74 = 1,299.96/x
  3. Step 3: Cross multiply
    2,362.17x = 3,259.74 × 1,299.96
  4. Step 4: Simplify right side
    2,362.17x = 4,237,531.61
  5. Step 5: Solve for x
    x = 4,237,531.61/2,362.17
  6. Step 6: Final answer
    x = 1,793.91

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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.