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Finding the Fourth Proportional to 2,813.74, 4,220.68 and 964.84

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Solution

The fourth proportional to 2,813.74, 4,220.68 and 964.84 is: 1,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.74 : 4,220.68 = 964.84 : x
  2. Step 2: Convert to fraction form
    2,813.74/4,220.68 = 964.84/x
  3. Step 3: Cross multiply
    2,813.74x = 4,220.68 × 964.84
  4. Step 4: Simplify right side
    2,813.74x = 4,072,276.07
  5. Step 5: Solve for x
    x = 4,072,276.07/2,813.74
  6. Step 6: Final answer
    x = 1,447.28

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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.