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Finding the Fourth Proportional to 3,048.50, 4,207.04 and 1,722.39

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Solution

The fourth proportional to 3,048.50, 4,207.04 and 1,722.39 is: 2,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.50 : 4,207.04 = 1,722.39 : x
  2. Step 2: Convert to fraction form
    3,048.50/4,207.04 = 1,722.39/x
  3. Step 3: Cross multiply
    3,048.50x = 4,207.04 × 1,722.39
  4. Step 4: Simplify right side
    3,048.50x = 7,246,155.01
  5. Step 5: Solve for x
    x = 7,246,155.01/3,048.50
  6. Step 6: Final answer
    x = 2,376.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.