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Finding the Fourth Proportional to 2,956.74, 4,433.64 and 1,724.46

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Solution

The fourth proportional to 2,956.74, 4,433.64 and 1,724.46 is: 2,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.74 : 4,433.64 = 1,724.46 : x
  2. Step 2: Convert to fraction form
    2,956.74/4,433.64 = 1,724.46/x
  3. Step 3: Cross multiply
    2,956.74x = 4,433.64 × 1,724.46
  4. Step 4: Simplify right side
    2,956.74x = 7,645,634.83
  5. Step 5: Solve for x
    x = 7,645,634.83/2,956.74
  6. Step 6: Final answer
    x = 2,585.83

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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.