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Finding the Fourth Proportional to 2,954.44, 4,430.44 and 1,006.80

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Solution

The fourth proportional to 2,954.44, 4,430.44 and 1,006.80 is: 1,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.44 : 4,430.44 = 1,006.80 : x
  2. Step 2: Convert to fraction form
    2,954.44/4,430.44 = 1,006.80/x
  3. Step 3: Cross multiply
    2,954.44x = 4,430.44 × 1,006.80
  4. Step 4: Simplify right side
    2,954.44x = 4,460,566.99
  5. Step 5: Solve for x
    x = 4,460,566.99/2,954.44
  6. Step 6: Final answer
    x = 1,509.78

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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.