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Finding the Fourth Proportional to 2,813.67, 4,220.06 and 964.36

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Solution

The fourth proportional to 2,813.67, 4,220.06 and 964.36 is: 1,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.67 : 4,220.06 = 964.36 : x
  2. Step 2: Convert to fraction form
    2,813.67/4,220.06 = 964.36/x
  3. Step 3: Cross multiply
    2,813.67x = 4,220.06 × 964.36
  4. Step 4: Simplify right side
    2,813.67x = 4,069,657.06
  5. Step 5: Solve for x
    x = 4,069,657.06/2,813.67
  6. Step 6: Final answer
    x = 1,446.39

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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.