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Finding the Fourth Proportional to 2,324.76, 3,486.87 and 593.34

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Solution

The fourth proportional to 2,324.76, 3,486.87 and 593.34 is: 889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.76 : 3,486.87 = 593.34 : x
  2. Step 2: Convert to fraction form
    2,324.76/3,486.87 = 593.34/x
  3. Step 3: Cross multiply
    2,324.76x = 3,486.87 × 593.34
  4. Step 4: Simplify right side
    2,324.76x = 2,068,899.45
  5. Step 5: Solve for x
    x = 2,068,899.45/2,324.76
  6. Step 6: Final answer
    x = 889.94

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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.