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Finding the Fourth Proportional to 1,964.76, 2,712.54 and 1,834.20

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Solution

The fourth proportional to 1,964.76, 2,712.54 and 1,834.20 is: 2,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.76 : 2,712.54 = 1,834.20 : x
  2. Step 2: Convert to fraction form
    1,964.76/2,712.54 = 1,834.20/x
  3. Step 3: Cross multiply
    1,964.76x = 2,712.54 × 1,834.20
  4. Step 4: Simplify right side
    1,964.76x = 4,975,340.87
  5. Step 5: Solve for x
    x = 4,975,340.87/1,964.76
  6. Step 6: Final answer
    x = 2,532.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.