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Finding the Fourth Proportional to 2,813.23, 4,220.18 and 964.77

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Solution

The fourth proportional to 2,813.23, 4,220.18 and 964.77 is: 1,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.23 : 4,220.18 = 964.77 : x
  2. Step 2: Convert to fraction form
    2,813.23/4,220.18 = 964.77/x
  3. Step 3: Cross multiply
    2,813.23x = 4,220.18 × 964.77
  4. Step 4: Simplify right side
    2,813.23x = 4,071,503.06
  5. Step 5: Solve for x
    x = 4,071,503.06/2,813.23
  6. Step 6: Final answer
    x = 1,447.27

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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.