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Finding the Fourth Proportional to 2,631.67, 3,946.81 and 782.35

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Solution

The fourth proportional to 2,631.67, 3,946.81 and 782.35 is: 1,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.67 : 3,946.81 = 782.35 : x
  2. Step 2: Convert to fraction form
    2,631.67/3,946.81 = 782.35/x
  3. Step 3: Cross multiply
    2,631.67x = 3,946.81 × 782.35
  4. Step 4: Simplify right side
    2,631.67x = 3,087,786.80
  5. Step 5: Solve for x
    x = 3,087,786.80/2,631.67
  6. Step 6: Final answer
    x = 1,173.32

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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.