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Finding the Fourth Proportional to 4,981.74, 7,473.69 and 1,519.26

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Solution

The fourth proportional to 4,981.74, 7,473.69 and 1,519.26 is: 2,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.74 : 7,473.69 = 1,519.26 : x
  2. Step 2: Convert to fraction form
    4,981.74/7,473.69 = 1,519.26/x
  3. Step 3: Cross multiply
    4,981.74x = 7,473.69 × 1,519.26
  4. Step 4: Simplify right side
    4,981.74x = 11,354,478.27
  5. Step 5: Solve for x
    x = 11,354,478.27/4,981.74
  6. Step 6: Final answer
    x = 2,279.22

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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.