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Finding the Fourth Proportional to 2,835.40, 4,252.56 and 986.62

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Solution

The fourth proportional to 2,835.40, 4,252.56 and 986.62 is: 1,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.40 : 4,252.56 = 986.62 : x
  2. Step 2: Convert to fraction form
    2,835.40/4,252.56 = 986.62/x
  3. Step 3: Cross multiply
    2,835.40x = 4,252.56 × 986.62
  4. Step 4: Simplify right side
    2,835.40x = 4,195,660.75
  5. Step 5: Solve for x
    x = 4,195,660.75/2,835.40
  6. Step 6: Final answer
    x = 1,479.74

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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.