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Finding the Fourth Proportional to 3,271.84, 4,903.66 and 1,956.57

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Solution

The fourth proportional to 3,271.84, 4,903.66 and 1,956.57 is: 2,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.84 : 4,903.66 = 1,956.57 : x
  2. Step 2: Convert to fraction form
    3,271.84/4,903.66 = 1,956.57/x
  3. Step 3: Cross multiply
    3,271.84x = 4,903.66 × 1,956.57
  4. Step 4: Simplify right side
    3,271.84x = 9,594,350.50
  5. Step 5: Solve for x
    x = 9,594,350.50/3,271.84
  6. Step 6: Final answer
    x = 2,932.40

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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.