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Finding the Fourth Proportional to 1,964.04, 2,947.08 and 1,949.06

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Solution

The fourth proportional to 1,964.04, 2,947.08 and 1,949.06 is: 2,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.04 : 2,947.08 = 1,949.06 : x
  2. Step 2: Convert to fraction form
    1,964.04/2,947.08 = 1,949.06/x
  3. Step 3: Cross multiply
    1,964.04x = 2,947.08 × 1,949.06
  4. Step 4: Simplify right side
    1,964.04x = 5,744,035.74
  5. Step 5: Solve for x
    x = 5,744,035.74/1,964.04
  6. Step 6: Final answer
    x = 2,924.60

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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.