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Finding the Fourth Proportional to 3,023.74, 4,533.72 and 1,723.42

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Solution

The fourth proportional to 3,023.74, 4,533.72 and 1,723.42 is: 2,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.74 : 4,533.72 = 1,723.42 : x
  2. Step 2: Convert to fraction form
    3,023.74/4,533.72 = 1,723.42/x
  3. Step 3: Cross multiply
    3,023.74x = 4,533.72 × 1,723.42
  4. Step 4: Simplify right side
    3,023.74x = 7,813,503.72
  5. Step 5: Solve for x
    x = 7,813,503.72/3,023.74
  6. Step 6: Final answer
    x = 2,584.05

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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.