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Finding the Fourth Proportional to 2,439.79, 3,660.50 and 774.18

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Solution

The fourth proportional to 2,439.79, 3,660.50 and 774.18 is: 1,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.79 : 3,660.50 = 774.18 : x
  2. Step 2: Convert to fraction form
    2,439.79/3,660.50 = 774.18/x
  3. Step 3: Cross multiply
    2,439.79x = 3,660.50 × 774.18
  4. Step 4: Simplify right side
    2,439.79x = 2,833,885.89
  5. Step 5: Solve for x
    x = 2,833,885.89/2,439.79
  6. Step 6: Final answer
    x = 1,161.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.