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Finding the Fourth Proportional to 2,964.81, 4,444.13 and 1,209.06

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Solution

The fourth proportional to 2,964.81, 4,444.13 and 1,209.06 is: 1,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.81 : 4,444.13 = 1,209.06 : x
  2. Step 2: Convert to fraction form
    2,964.81/4,444.13 = 1,209.06/x
  3. Step 3: Cross multiply
    2,964.81x = 4,444.13 × 1,209.06
  4. Step 4: Simplify right side
    2,964.81x = 5,373,219.82
  5. Step 5: Solve for x
    x = 5,373,219.82/2,964.81
  6. Step 6: Final answer
    x = 1,812.33

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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.