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Finding the Fourth Proportional to 1,964.48, 2,948.34 and 811.04

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Solution

The fourth proportional to 1,964.48, 2,948.34 and 811.04 is: 1,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.48 : 2,948.34 = 811.04 : x
  2. Step 2: Convert to fraction form
    1,964.48/2,948.34 = 811.04/x
  3. Step 3: Cross multiply
    1,964.48x = 2,948.34 × 811.04
  4. Step 4: Simplify right side
    1,964.48x = 2,391,221.67
  5. Step 5: Solve for x
    x = 2,391,221.67/1,964.48
  6. Step 6: Final answer
    x = 1,217.23

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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.