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Finding the Fourth Proportional to 2,981.69, 4,473.21 and 1,594.29

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Solution

The fourth proportional to 2,981.69, 4,473.21 and 1,594.29 is: 2,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.69 : 4,473.21 = 1,594.29 : x
  2. Step 2: Convert to fraction form
    2,981.69/4,473.21 = 1,594.29/x
  3. Step 3: Cross multiply
    2,981.69x = 4,473.21 × 1,594.29
  4. Step 4: Simplify right side
    2,981.69x = 7,131,610.75
  5. Step 5: Solve for x
    x = 7,131,610.75/2,981.69
  6. Step 6: Final answer
    x = 2,391.80

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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.