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Finding the Fourth Proportional to 2,885.32, 3,982.44 and 1,690.88

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Solution

The fourth proportional to 2,885.32, 3,982.44 and 1,690.88 is: 2,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.32 : 3,982.44 = 1,690.88 : x
  2. Step 2: Convert to fraction form
    2,885.32/3,982.44 = 1,690.88/x
  3. Step 3: Cross multiply
    2,885.32x = 3,982.44 × 1,690.88
  4. Step 4: Simplify right side
    2,885.32x = 6,733,828.15
  5. Step 5: Solve for x
    x = 6,733,828.15/2,885.32
  6. Step 6: Final answer
    x = 2,333.82

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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.