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Finding the Fourth Proportional to 2,885.34, 3,982.41 and 1,690.86

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Solution

The fourth proportional to 2,885.34, 3,982.41 and 1,690.86 is: 2,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.34 : 3,982.41 = 1,690.86 : x
  2. Step 2: Convert to fraction form
    2,885.34/3,982.41 = 1,690.86/x
  3. Step 3: Cross multiply
    2,885.34x = 3,982.41 × 1,690.86
  4. Step 4: Simplify right side
    2,885.34x = 6,733,697.77
  5. Step 5: Solve for x
    x = 6,733,697.77/2,885.34
  6. Step 6: Final answer
    x = 2,333.76

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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.