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Finding the Fourth Proportional to 2,325.76, 3,487.82 and 682.28

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Solution

The fourth proportional to 2,325.76, 3,487.82 and 682.28 is: 1,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.76 : 3,487.82 = 682.28 : x
  2. Step 2: Convert to fraction form
    2,325.76/3,487.82 = 682.28/x
  3. Step 3: Cross multiply
    2,325.76x = 3,487.82 × 682.28
  4. Step 4: Simplify right side
    2,325.76x = 2,379,669.83
  5. Step 5: Solve for x
    x = 2,379,669.83/2,325.76
  6. Step 6: Final answer
    x = 1,023.18

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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.