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Finding the Fourth Proportional to 2,439.84, 3,661.28 and 1,207.72

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Solution

The fourth proportional to 2,439.84, 3,661.28 and 1,207.72 is: 1,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.84 : 3,661.28 = 1,207.72 : x
  2. Step 2: Convert to fraction form
    2,439.84/3,661.28 = 1,207.72/x
  3. Step 3: Cross multiply
    2,439.84x = 3,661.28 × 1,207.72
  4. Step 4: Simplify right side
    2,439.84x = 4,421,801.08
  5. Step 5: Solve for x
    x = 4,421,801.08/2,439.84
  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.